Ask HN: Should I add a CS major? Is late better than never?

I'm currently a sophomore pursuing a BA in economics. I'd like to add a CS major, but I'd like to get some advice first.

I would be double majoring, not getting a dual degree. What this means is that while I would be taking the same CS classes as a BS student, I will be getting a BA in CS and econ vs a BA in econ and a BS in CS. I simply don't have enough money to extend my time in college and switch to/add a BS in CS, since it also requires other engineering classes.

The issue is that I only have 1 semester before having to figure out what to do summer of junior year. What this means is that I will only have taken 3 CS classes, as opposed to maybe 8-10 for the people who started off in CS.

What does this mean for getting an internship at a large firm? Working for a startup? I guess I'm looking for more than a yes or no answer (that part is somewhat obvious) - I'm trying to see what the implications of starting late are. Thanks for your opinions.