Finding the Third Proportional to 31,916 and 65,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,916 : 65,416 = 65,416 : x
2. Step 2: Convert to fraction form
   31,916/65,416 = 65,416/x
3. Step 3: Cross multiply
   31,916x = 65,416 × 65,416
4. Step 4: Simplify right side
   31,916x = 4,279,253,056
5. Step 5: Solve for x
   x = 4,279,253,056/31,916
6. Step 6: Final answer
   x = 134,078.61