Finding the Third Proportional to 55,509 and 81,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,509 : 81,793.50 = 81,793.50 : x
2. Step 2: Convert to fraction form
   55,509/81,793.50 = 81,793.50/x
3. Step 3: Cross multiply
   55,509x = 81,793.50 × 81,793.50
4. Step 4: Simplify right side
   55,509x = 6,690,176,642.25
5. Step 5: Solve for x
   x = 6,690,176,642.25/55,509
6. Step 6: Final answer
   x = 120,524.18