Finding the Third Proportional to 53,406 and 83,025

Step by Step Solution

1. Step 1: Write the proportion equation
   53,406 : 83,025 = 83,025 : x
2. Step 2: Convert to fraction form
   53,406/83,025 = 83,025/x
3. Step 3: Cross multiply
   53,406x = 83,025 × 83,025
4. Step 4: Simplify right side
   53,406x = 6,893,150,625
5. Step 5: Solve for x
   x = 6,893,150,625/53,406
6. Step 6: Final answer
   x = 129,070.72