Finding the Third Proportional to 9,632 and 15,256

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632 : 15,256 = 15,256 : x
2. Step 2: Convert to fraction form
   9,632/15,256 = 15,256/x
3. Step 3: Cross multiply
   9,632x = 15,256 × 15,256
4. Step 4: Simplify right side
   9,632x = 232,745,536
5. Step 5: Solve for x
   x = 232,745,536/9,632
6. Step 6: Final answer
   x = 24,163.78