## Geometry: Common Core (15th Edition)

Let's look at the way we find the geometric mean of two numbers. The geometric mean of two numbers can be found using the following proportion: $\frac{a}{x} = \frac{x}{b}$, where $a$ and $b$ are positive numbers and $x$ is the geometric mean. Use the cross products property to get rid of the fractions: $x^2 = ab$ Take the square root of both sides to simplify: $x = \sqrt {ab}$ Yes, I agree that my classmate's statement is true.