Finding the Third Proportional to 53,082 and 81,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,082 : 81,465.50 = 81,465.50 : x
2. Step 2: Convert to fraction form
   53,082/81,465.50 = 81,465.50/x
3. Step 3: Cross multiply
   53,082x = 81,465.50 × 81,465.50
4. Step 4: Simplify right side
   53,082x = 6,636,627,690.25
5. Step 5: Solve for x
   x = 6,636,627,690.25/53,082
6. Step 6: Final answer
   x = 125,025.95