Answer :

To find the geometric mean of two numbers, we need to follow a specific procedure. Let's find the geometric mean of the numbers 4 and 9.

### Step-by-Step Solution:

1. Identify the numbers:
- Here, the two given numbers are 4 and 9.

2. Multiply the numbers:
- Multiply 4 by 9. This will be our product.
[tex]\[ 4 \times 9 = 36 \][/tex]

3. Take the square root of the product:
- To compute the geometric mean, we need to take the square root of the product we just calculated.
[tex]\[ \sqrt{36} = 6 \][/tex]

### Final Answer:
The geometric mean of 4 and 9 is 6.0.