Finding the Third Proportional to 11,542 and 16,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,542 : 16,504.50 = 16,504.50 : x
2. Step 2: Convert to fraction form
   11,542/16,504.50 = 16,504.50/x
3. Step 3: Cross multiply
   11,542x = 16,504.50 × 16,504.50
4. Step 4: Simplify right side
   11,542x = 272,398,520.25
5. Step 5: Solve for x
   x = 272,398,520.25/11,542
6. Step 6: Final answer
   x = 23,600.63