Finding the Third Proportional to 59,096 and 86,916

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 86,916 = 86,916 : x
2. Step 2: Convert to fraction form
   59,096/86,916 = 86,916/x
3. Step 3: Cross multiply
   59,096x = 86,916 × 86,916
4. Step 4: Simplify right side
   59,096x = 7,554,391,056
5. Step 5: Solve for x
   x = 7,554,391,056/59,096
6. Step 6: Final answer
   x = 127,832.53