So with this, you'll be using a proportion to solve it. And here's what your equation will look like:
[tex] \frac{30}{x} =\frac{x}{24} [/tex]
Firstly, you'll need to cross-multiply. Your equation will look like this: [tex] 720=x^2 [/tex]
For this, all you need to do is square root, and your answer is [tex] \sqrt{720} =x [/tex], however this answer can be simplified further.
[tex] \sqrt{720} =\sqrt{30*24} =\sqrt{5*6*6*4}=\sqrt{5*3*2*3*2*2*2} =4*3\sqrt{5} =12\sqrt{5} [/tex]
In short, your answer is [tex] 12\sqrt{5} [/tex]
