I was in a similar situation as you a few years ago, practiced for 3-4 months before I could do this, when I felt ready and saw a girl I liked, she unfortunately didn’t make any eye contact with me, but I went for it anyways, these were the lines I used…
“Excuse me, this is random, but I saw you and thought you looked really nice, didn’t see a ring so I figured I’d come over and ask your name”
She giggled about the ring thing, and told me her name, I said my name…
“I’m [First Name]” paused for 3 seconds, then said…
“We’ll I’m from the area, if you're interested I would love to meet sometime to talk for a bit”.
She said “yeah, sure”
I handed my phone to her to put her details in the sms app.
I said “Nice meeting you, I’ll text you later”
Waved goodbye, then I left the area
We did end up going on 1 date, this was the first date I had ever been on, I was 28, but that’s another story because she didn’t turn out to be a good person in the end. Can’t say I’ve tried much, if at all since then, I’m not easily attracted to women so it’s not often I feel that desire to approach someone, in fact, I've approached about 4 since then; but all were already in relationships; not married though, guess I got lucky that time... maybe some other year...
Modified my script with this line after the 3rd attempt...
"Is he a good boyfriend?"
She says, "yeah, he's good" (Or something like that), I say...
"You want a better one?"
They giggle and I cut off the interaction there saying "was nice meeting you" and leaving the area.
In my ideal scenario, she says "actually; yes I want a better boyfriend, mine is pretty useless", but we can't have it all. I just need to get out of the city. 
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"we've come full circle"