Finding the Third Proportional to 36,256 and 55,744

Step by Step Solution

1. Step 1: Write the proportion equation
   36,256 : 55,744 = 55,744 : x
2. Step 2: Convert to fraction form
   36,256/55,744 = 55,744/x
3. Step 3: Cross multiply
   36,256x = 55,744 × 55,744
4. Step 4: Simplify right side
   36,256x = 3,107,393,536
5. Step 5: Solve for x
   x = 3,107,393,536/36,256
6. Step 6: Final answer
   x = 85,707.02