To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as shown below.
[tex] \frac{3}{x} = \frac{x}{4} [/tex]
[tex] 4(3) = x(x) [/tex]
[tex] 12 = x^{2} [/tex]
From this, we can see that the solutions for the equation are the positive and negative roots of 12.
Simplifying the radical, we have
√12 = √(2² x 3) = 2√3
Thus, we have
[tex] x = \pm 2\sqrt3 [/tex]
