Finding the Third Proportional to 38,416 and 56,256

Step by Step Solution

1. Step 1: Write the proportion equation
   38,416 : 56,256 = 56,256 : x
2. Step 2: Convert to fraction form
   38,416/56,256 = 56,256/x
3. Step 3: Cross multiply
   38,416x = 56,256 × 56,256
4. Step 4: Simplify right side
   38,416x = 3,164,737,536
5. Step 5: Solve for x
   x = 3,164,737,536/38,416
6. Step 6: Final answer
   x = 82,380.71