OP, when there's a significant discrepancy between men and women, just approach the situation confidently. Spit a little game, express your interest, and if she's interested in reciprocating and buying what you are selling, she’ll likely give you signals—like following you on social media, keeping the conversation going, asking for your number, trying to spend time with you, or even buying you a drink or dinner.
Just try to read her signals and make sure you do not overstay your welcome. She is not yours, it is only your turn, and that is for everyone that is trying to catch her attention.
However, if you're not chosen, don’t take it personally. You can’t win everyone over, and that’s okay.