Finding the Third Proportional to 52,909.50 and 80,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,909.50 : 80,335.50 = 80,335.50 : x
2. Step 2: Convert to fraction form
   52,909.50/80,335.50 = 80,335.50/x
3. Step 3: Cross multiply
   52,909.50x = 80,335.50 × 80,335.50
4. Step 4: Simplify right side
   52,909.50x = 6,453,792,560.25
5. Step 5: Solve for x
   x = 6,453,792,560.25/52,909.50
6. Step 6: Final answer
   x = 121,977.95