Finding the Third Proportional to 53,055 and 82,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,055 : 82,363.50 = 82,363.50 : x
2. Step 2: Convert to fraction form
   53,055/82,363.50 = 82,363.50/x
3. Step 3: Cross multiply
   53,055x = 82,363.50 × 82,363.50
4. Step 4: Simplify right side
   53,055x = 6,783,746,132.25
5. Step 5: Solve for x
   x = 6,783,746,132.25/53,055
6. Step 6: Final answer
   x = 127,862.52