Finding the Third Proportional to 59,677.50 and 83,657.25

Step by Step Solution

1. Step 1: Write the proportion equation
   59,677.50 : 83,657.25 = 83,657.25 : x
2. Step 2: Convert to fraction form
   59,677.50/83,657.25 = 83,657.25/x
3. Step 3: Cross multiply
   59,677.50x = 83,657.25 × 83,657.25
4. Step 4: Simplify right side
   59,677.50x = 6,998,535,477.56
5. Step 5: Solve for x
   x = 6,998,535,477.56/59,677.50
6. Step 6: Final answer
   x = 117,272.60