Finding the Third Proportional to 59,766 and 83,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,766 : 83,761.50 = 83,761.50 : x
2. Step 2: Convert to fraction form
   59,766/83,761.50 = 83,761.50/x
3. Step 3: Cross multiply
   59,766x = 83,761.50 × 83,761.50
4. Step 4: Simplify right side
   59,766x = 7,015,988,882.25
5. Step 5: Solve for x
   x = 7,015,988,882.25/59,766
6. Step 6: Final answer
   x = 117,390.97