Finding the Third Proportional to 31,752 and 68,976

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 68,976 = 68,976 : x
2. Step 2: Convert to fraction form
   31,752/68,976 = 68,976/x
3. Step 3: Cross multiply
   31,752x = 68,976 × 68,976
4. Step 4: Simplify right side
   31,752x = 4,757,688,576
5. Step 5: Solve for x
   x = 4,757,688,576/31,752
6. Step 6: Final answer
   x = 149,839.02