The geometric mean of 10 and x is 40. Use the rule below to find the value of x.

To find the geometric mean of two numbers:
multiply the two numbers together, then find the square root of the result.
geometric mean of 4 and 9 = √4 x 9 = √36 = 6

To find the geometric mean of 10 and x:

10 * x = 40^2
10x = 1600
x = 1600 / 10
x = 160

Therefore, the value of x is 160.