Finding the Third Proportional to 31,328 and 68,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,328 : 68,416 = 68,416 : x
2. Step 2: Convert to fraction form
   31,328/68,416 = 68,416/x
3. Step 3: Cross multiply
   31,328x = 68,416 × 68,416
4. Step 4: Simplify right side
   31,328x = 4,680,749,056
5. Step 5: Solve for x
   x = 4,680,749,056/31,328
6. Step 6: Final answer
   x = 149,411.04