Finding the Third Proportional to 59,096 and 82,974

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 82,974 = 82,974 : x
2. Step 2: Convert to fraction form
   59,096/82,974 = 82,974/x
3. Step 3: Cross multiply
   59,096x = 82,974 × 82,974
4. Step 4: Simplify right side
   59,096x = 6,884,684,676
5. Step 5: Solve for x
   x = 6,884,684,676/59,096
6. Step 6: Final answer
   x = 116,500.01