Help me get a read on this situation?

There’s a guy I met about 2 months ago at the gym. The first time we met, I was doing the splits on the floor (I’m a ballet dancer so I’m very flexible) and when he saw me doing that, he let out a little yell and then asked if I could do a handstand lol.

At the end of class, I was dancing by myself to the music. He saw me dancing, and he literally moved so he could clearly see me in plain view to watch me dance. I made eye contact with him, made a silly face, and continued dancing and twirling my hips around in a circle. Then, he walked over to me and said, “So is this what you come to the gym for?” And I said, “To dance? Oh yeah!”

After that day, I’d see him around the gym regularly and we took the same classes together sometimes. I felt like he would notice/look at me more. I remember there was one time when I walked in the door and he was already there and he noticed me, and when I made eye contact with him, he sustained eye contact even when I looked away. When I looked back, he was still looking at me. So I gave him a small smile and he smiled back.

I remember after class that day, he and I smiled at each other and said goodbye. After that, I didn’t see him for a whole month! I don’t know why he disappeared or where he went.

BUT, last week, he reappeared at the gym! I was about to leave, but I spotted him working out and couldn’t help but look at him because I was thinking, “Oh my god, is that who I think it is? I haven’t seen him in forever!” When I looked at him, he made eye contact with me, and I smiled at him, but he didn’t smile back. Instead, he broke eye contact and didn’t smile back, and didn’t look at me again. I think it was because at the time, he was focused on working out, was distracted and didn’t expect to see me, so he was probably caught off guard.

The next time I saw him, he and I ended up taking the same class. When I walked in, I think he was looking at me and noticing my presence. During class, I looked at him with a smile, his eyes met mine, but then he looked away without smiling back. He looked back at me again, and he held eye contact with me for a couple seconds before looking away (but he still didn’t smile back!). After that, during the rest of the class, I think he started staring/looking at me more than before.

At the end of class, I started dancing to the music. The guy noticed me dancing, walked over to the coach and a group of guys, and pointed at me. They all turned to look at me and the coach yelled, “YES GIRL!” And I smiled and asked the coach to be my dancer partner. So the coach started dancing with me, and soon enough, we were having a little dance party! And all the guys, including the guy I’m interested in, formed a circle around us and watched us dance.

My question: My gut is saying that he’s into me. I feel like I’ve been sending signals to this guy that I’m interested, but he isn’t making a move or talking to me. But maybe I’m wrong? What should I do?