Finding the Third Proportional to 53,025 and 81,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,025 : 81,997.50 = 81,997.50 : x
2. Step 2: Convert to fraction form
   53,025/81,997.50 = 81,997.50/x
3. Step 3: Cross multiply
   53,025x = 81,997.50 × 81,997.50
4. Step 4: Simplify right side
   53,025x = 6,723,590,006.25
5. Step 5: Solve for x
   x = 6,723,590,006.25/53,025
6. Step 6: Final answer
   x = 126,800.38