Finding the Third Proportional to 59,096 and 89,737

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 89,737 = 89,737 : x
2. Step 2: Convert to fraction form
   59,096/89,737 = 89,737/x
3. Step 3: Cross multiply
   59,096x = 89,737 × 89,737
4. Step 4: Simplify right side
   59,096x = 8,052,729,169
5. Step 5: Solve for x
   x = 8,052,729,169/59,096
6. Step 6: Final answer
   x = 136,265.22