Finding the Third Proportional to 14,538 and 22,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 22,387.50 = 22,387.50 : x
2. Step 2: Convert to fraction form
   14,538/22,387.50 = 22,387.50/x
3. Step 3: Cross multiply
   14,538x = 22,387.50 × 22,387.50
4. Step 4: Simplify right side
   14,538x = 501,200,156.25
5. Step 5: Solve for x
   x = 501,200,156.25/14,538
6. Step 6: Final answer
   x = 34,475.18