Finding the Third Proportional to 31,918 and 68,180

Step by Step Solution

1. Step 1: Write the proportion equation
   31,918 : 68,180 = 68,180 : x
2. Step 2: Convert to fraction form
   31,918/68,180 = 68,180/x
3. Step 3: Cross multiply
   31,918x = 68,180 × 68,180
4. Step 4: Simplify right side
   31,918x = 4,648,512,400
5. Step 5: Solve for x
   x = 4,648,512,400/31,918
6. Step 6: Final answer
   x = 145,639.21