To find the product \( \sqrt{93} \cdot \sqrt{67} \), we can use the property of square roots that states:
\[ \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}. \]
Applying this to our problem:
\[ \sqrt{93} \cdot \sqrt{67} = \sqrt{93 \cdot 67}. \]
Now we need to calculate \( 93 \cdot 67 \):
\[ 93 \cdot 67 = 93 \times 67. \]
Calculating this step-by-step:
First, we can break it down as follows:
\[ 93 \times 67 = 93 \times (60 + 7) = 93 \times 60 + 93 \times 7. \]
Calculating each part:
- \( 93 \times 60 = 5580 \),
- \( 93 \times 7 = 651 \).
Now, adding those results together:
\[ 5580 + 651 = 6231. \]
Thus, we have:
\[ 93 \cdot 67 = 6231. \]
Now substituting back into our square root:
\[ \sqrt{93} \cdot \sqrt{67} = \sqrt{6231}. \]
Therefore, the exact answer is:
\[ \sqrt{6231}. \]