You may not believe it, but strong math and algebra and a good basis in physics, as well as an understanding of complex formulas, will all help.
I would also take up an instrument, and not just play. Actually find out how to read music and get some good theory behind it. You’d be amazed how much that helps.
The next step is to spend your summers interning somewhere, and ultimately to move to where the work is.
As working engineer with about 25 years of experience, I have used formulas for designing studios and placing speakers on the stage. Understanding the physics of sound and how frequencies react and a good grasp of harmonics is fundamental in my work.
Oh, and then if you start being a real engineer, you might actually start working on the equipment. Or, even better, you might end up designing some of your own gear. But, I digress.
Schools are good, if you can’t get an internship, and you’ll learn the basics of how the signal path works.
One aspect that schools won’t teach you is how to work with people. You would never talk someone down or say that you know it all. That kind of attitude would get you shown the door in a hurry. Working as an engineer is also about politics and crafting a vibe that the musician feels safe to create in.
You’ll go further if you understand why things sound good. It’s the difference between a guitar player and a guitarist.
And never stop learning, or you’ll be stuck.
Image of a Front of House sound engineer By Ville Hyvönen (originally posted to Flickr as FOH), via Wikimedia Commons