Find the fourth proportional of 2,3, and 6.

Answer

To find the fourth proportional of the numbers 2, 3, and 6, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the concept of fourth proportional**: The fourth proportional to three numbers A, B, and C is a number D such that the ratio of A to B is the same as the ratio of C to D. This can be expressed mathematically as:
\[ \frac{A}{B} = \frac{C}{D} \]

2. **Assign the values**: From the question, we have:
- A = 2
- B = 3
- C = 6
- D = ? (This is what we need to find)

3. **Set up the proportion**: According to the proportionality, we can write:
\[ \frac{2}{3} = \frac{6}{D} \]

4. **Cross-multiply**: To eliminate the fractions, we cross-multiply:
\[ 2 \cdot D = 3 \cdot 6 \]

5. **Calculate the right side**: Now calculate \(3 \cdot 6\):
\[ 3 \cdot 6 = 18 \]
So, we have:
\[ 2D = 18 \]

6. **Solve for D**: Now, divide both sides by 2 to find D:
\[ D = \frac{18}{2} = 9 \]

7. **Conclusion**: Therefore, the fourth proportional of 2, 3, and 6 is:
\[ D = 9 \]

### Final Answer:
The fourth proportional of 2, 3, and 6 is **9**.