Finding the Third Proportional to 31,442 and 68,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,442 : 68,416 = 68,416 : x
2. Step 2: Convert to fraction form
   31,442/68,416 = 68,416/x
3. Step 3: Cross multiply
   31,442x = 68,416 × 68,416
4. Step 4: Simplify right side
   31,442x = 4,680,749,056
5. Step 5: Solve for x
   x = 4,680,749,056/31,442
6. Step 6: Final answer
   x = 148,869.32