Finding the Third Proportional to 59,608 and 82,638

Step by Step Solution

1. Step 1: Write the proportion equation
   59,608 : 82,638 = 82,638 : x
2. Step 2: Convert to fraction form
   59,608/82,638 = 82,638/x
3. Step 3: Cross multiply
   59,608x = 82,638 × 82,638
4. Step 4: Simplify right side
   59,608x = 6,829,039,044
5. Step 5: Solve for x
   x = 6,829,039,044/59,608
6. Step 6: Final answer
   x = 114,565.81