when a girl gives you her number after a cold approach, she's going home and telling her friends.
"i met this guy in the street." and the friends / family start asking questions. how old is he? do you know him? does anyone know him?
that conversation could break comfort. Especially if you are approaching girls that are younger than you
that's why i try to get them on a date within 24-48 hours of the approach. not because i'm desperate. because i know my date game is strong and once she's in front of me, i can build more comfort in 2 hours than 2 weeks of texting.
reduce the time between approach and date.
don't force it if it's not possible, but keep it in mind.