Finding the Third Proportional to 31,326 and 65,728

Step by Step Solution

1. Step 1: Write the proportion equation
   31,326 : 65,728 = 65,728 : x
2. Step 2: Convert to fraction form
   31,326/65,728 = 65,728/x
3. Step 3: Cross multiply
   31,326x = 65,728 × 65,728
4. Step 4: Simplify right side
   31,326x = 4,320,169,984
5. Step 5: Solve for x
   x = 4,320,169,984/31,326
6. Step 6: Final answer
   x = 137,910.04