Finding the Third Proportional to 31,456 and 68,160

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 68,160 = 68,160 : x
2. Step 2: Convert to fraction form
   31,456/68,160 = 68,160/x
3. Step 3: Cross multiply
   31,456x = 68,160 × 68,160
4. Step 4: Simplify right side
   31,456x = 4,645,785,600
5. Step 5: Solve for x
   x = 4,645,785,600/31,456
6. Step 6: Final answer
   x = 147,691.56