Finding the Third Proportional to 42,565.50 and 59,508

Step by Step Solution

1. Step 1: Write the proportion equation
   42,565.50 : 59,508 = 59,508 : x
2. Step 2: Convert to fraction form
   42,565.50/59,508 = 59,508/x
3. Step 3: Cross multiply
   42,565.50x = 59,508 × 59,508
4. Step 4: Simplify right side
   42,565.50x = 3,541,202,064
5. Step 5: Solve for x
   x = 3,541,202,064/42,565.50
6. Step 6: Final answer
   x = 83,194.18