How to tell if a guy likes me?

I met this guy through a mutual friend, and now really like him a lot even though I barely know him. Everytime we talk, it's always fun and we always laugh and smile - we have complete chemistry. It's like when in a movie you see snippets of two people's relationship and you're just like "yup, they belong together." I feel like it's like that when we talk--he always pays attention to what I say and makes really good eye contact and says goodbye to me whenever our little chats are over; he's very polished and put together and is very polite and kind, and we just laugh when we talk, we are on the same page about things. When I first met him a few months ago (and up until a couple weeks ago), he had a girlfriend for over two years and I am only assuming he's single because now he has no relationship to show on fb, when before it said "____ is in a relationship with____" so I'm assuming he's single? But you never know, maybe he and the gf broke up, took it off facebook, then got back together, and didn't put it back up. Or maybe they broke up and he is done with girls for awhile. You never know someone's scenario, but I like swear to god he likes me just because we have so much chemistry whenever we talk. But that could be me misinterpreting his words/actions--who knows, maybe he likes me as a sister or a friend and has no romantic feelings for me at all.

I need to figure out if he likes me or not, but I don't know how to go about it because I don't want to ask our mutual friend, who is a great kid but like I hate spilling the beans to people I am not extremely close to. I guess the other option is to ask this kid if he likes me myself. But obviously I want to avoid that. So what should I do???

Also, this kid who I like and I are not friends; like we get along great when we see each other, but we don't text or facebook message or snapchat. We're not like on that level yet. I don't know what to do about this. I need to find out if he likes me because I am crushing so hard!!!!!