Should I keep trying with him?

So I went out with a guy twice, I asked him for both dates. On the second date, he seemed like he really liked me. We went to a haunted house and he said "you can grab on to me if you need to" so I grabbed onto his arm and he kept patting my hand and then halfway through the haunted house he said "you can hold my hand if you want" when I was walking ahead of him in a different situation, he grabbed on to my waist. After the haunted house, my friend told me that it seemed he was really into me. Then we went swimming and he told me "I meant to tell you this earlier, but you're really beautiful" and then me and him were being really flirty with each other. And another person told me it seemed he really liked me. The problem is, he doesn't initiate texting me or asking me on dates. It's always just me initiating plans with him. I really want to see him again, but I don't know if I should ask him on a third date, because I already asked him on two. When I text him, he doesn't ask any questions back, but he responds right away. What should I do?

Should I keep trying with him?
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