Finding the Third Proportional to 51,384 and 76,728

Step by Step Solution

1. Step 1: Write the proportion equation
   51,384 : 76,728 = 76,728 : x
2. Step 2: Convert to fraction form
   51,384/76,728 = 76,728/x
3. Step 3: Cross multiply
   51,384x = 76,728 × 76,728
4. Step 4: Simplify right side
   51,384x = 5,887,185,984
5. Step 5: Solve for x
   x = 5,887,185,984/51,384
6. Step 6: Final answer
   x = 114,572.36