Finding the Third Proportional to 60,384 and 86,976

Step by Step Solution

1. Step 1: Write the proportion equation
   60,384 : 86,976 = 86,976 : x
2. Step 2: Convert to fraction form
   60,384/86,976 = 86,976/x
3. Step 3: Cross multiply
   60,384x = 86,976 × 86,976
4. Step 4: Simplify right side
   60,384x = 7,564,824,576
5. Step 5: Solve for x
   x = 7,564,824,576/60,384
6. Step 6: Final answer
   x = 125,278.63