Finding the Third Proportional to 59,593 and 82,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,593 : 82,089.50 = 82,089.50 : x
2. Step 2: Convert to fraction form
   59,593/82,089.50 = 82,089.50/x
3. Step 3: Cross multiply
   59,593x = 82,089.50 × 82,089.50
4. Step 4: Simplify right side
   59,593x = 6,738,686,010.25
5. Step 5: Solve for x
   x = 6,738,686,010.25/59,593
6. Step 6: Final answer
   x = 113,078.48