Finding the Third Proportional to 59,606 and 83,542

Step by Step Solution

1. Step 1: Write the proportion equation
   59,606 : 83,542 = 83,542 : x
2. Step 2: Convert to fraction form
   59,606/83,542 = 83,542/x
3. Step 3: Cross multiply
   59,606x = 83,542 × 83,542
4. Step 4: Simplify right side
   59,606x = 6,979,265,764
5. Step 5: Solve for x
   x = 6,979,265,764/59,606
6. Step 6: Final answer
   x = 117,089.99