Question

(\frac{16}{x}=\frac{x}{9})

Explanation:

Step1: Cross-multiply to eliminate fractions

$$16 \times 9 = x \times x$$

Step2: Simplify both sides

$$x^2 = 144$$

Step3: Solve for x (take square root)

$$x = \pm\sqrt{144} = \pm12$$

Answer:

$x = 12$ or $x = -12$