To find the geometric mean of two numbers, we follow these steps:
1. Identify the Numbers: The given numbers are 24 and 32.
2. Multiply the Numbers: First, we need to multiply these two numbers together:
[tex]\[
24 \times 32 = 768.
\][/tex]
3. Find the Square Root: Next, we take the square root of the result to find the geometric mean:
[tex]\[
\sqrt{768} \approx 27.712812921102035.
\][/tex]
The geometric mean of the numbers 24 and 32 is approximately [tex]\(27.712812921102035\)[/tex].