This is gonna sound completely retarded, but once you've made and broken eye contact dozens of times, how do you actually approach someone? I don't mean mentally, but physically. Like physically moving a few meters towards them to start dancing or talking or whatever.

The only times I've pulled in a club, either I was the one being approached, or I was too drunk to remember what happened before. However there are countless times where me and someone else have been looking and smiling to each other, and I haven't actually figured out how to physically get closer to them without feeling like it would be weird or creepy.