Finding the Third Proportional to 31,968 and 68,640

Step by Step Solution

1. Step 1: Write the proportion equation
   31,968 : 68,640 = 68,640 : x
2. Step 2: Convert to fraction form
   31,968/68,640 = 68,640/x
3. Step 3: Cross multiply
   31,968x = 68,640 × 68,640
4. Step 4: Simplify right side
   31,968x = 4,711,449,600
5. Step 5: Solve for x
   x = 4,711,449,600/31,968
6. Step 6: Final answer
   x = 147,380.18