Finding the Third Proportional to 31,456 and 67,728

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 67,728 = 67,728 : x
2. Step 2: Convert to fraction form
   31,456/67,728 = 67,728/x
3. Step 3: Cross multiply
   31,456x = 67,728 × 67,728
4. Step 4: Simplify right side
   31,456x = 4,587,081,984
5. Step 5: Solve for x
   x = 4,587,081,984/31,456
6. Step 6: Final answer
   x = 145,825.34