Finding the Third Proportional to 38,560 and 56,320

Step by Step Solution

1. Step 1: Write the proportion equation
   38,560 : 56,320 = 56,320 : x
2. Step 2: Convert to fraction form
   38,560/56,320 = 56,320/x
3. Step 3: Cross multiply
   38,560x = 56,320 × 56,320
4. Step 4: Simplify right side
   38,560x = 3,171,942,400
5. Step 5: Solve for x
   x = 3,171,942,400/38,560
6. Step 6: Final answer
   x = 82,259.92