Finding the Third Proportional to 59,598 and 82,096

Step by Step Solution

1. Step 1: Write the proportion equation
   59,598 : 82,096 = 82,096 : x
2. Step 2: Convert to fraction form
   59,598/82,096 = 82,096/x
3. Step 3: Cross multiply
   59,598x = 82,096 × 82,096
4. Step 4: Simplify right side
   59,598x = 6,739,753,216
5. Step 5: Solve for x
   x = 6,739,753,216/59,598
6. Step 6: Final answer
   x = 113,086.90