Finding the Third Proportional to 11,632 and 16,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,632 : 16,614.50 = 16,614.50 : x
2. Step 2: Convert to fraction form
   11,632/16,614.50 = 16,614.50/x
3. Step 3: Cross multiply
   11,632x = 16,614.50 × 16,614.50
4. Step 4: Simplify right side
   11,632x = 276,041,610.25
5. Step 5: Solve for x
   x = 276,041,610.25/11,632
6. Step 6: Final answer
   x = 23,731.23