Finding the Third Proportional to 14,142.50 and 21,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142.50 : 21,392.50 = 21,392.50 : x
2. Step 2: Convert to fraction form
   14,142.50/21,392.50 = 21,392.50/x
3. Step 3: Cross multiply
   14,142.50x = 21,392.50 × 21,392.50
4. Step 4: Simplify right side
   14,142.50x = 457,639,056.25
5. Step 5: Solve for x
   x = 457,639,056.25/14,142.50
6. Step 6: Final answer
   x = 32,359.13