To find the geometric mean \( x \) of two numbers 6 and 3, you can use the formula for the geometric mean:
\[ x = \sqrt{a \times b} \]
where \( a \) and \( b \) are the two numbers. In this case, \( a = 6 \) and \( b = 3 \).
Now, let's plug in the values:
\[ x = \sqrt{6 \times 3} \] \[ x = \sqrt{18} \]
Next, calculate \( \sqrt{18} \):
\[ \sqrt{18} \approx 4.2426 \]
Rounding to the nearest tenth gives:
\[ x \approx 4.2 \]
Therefore, the value of \( x \) is approximately 4.2.