Finding the Third Proportional to 25,780 and 56,542

Step by Step Solution

1. Step 1: Write the proportion equation
   25,780 : 56,542 = 56,542 : x
2. Step 2: Convert to fraction form
   25,780/56,542 = 56,542/x
3. Step 3: Cross multiply
   25,780x = 56,542 × 56,542
4. Step 4: Simplify right side
   25,780x = 3,196,997,764
5. Step 5: Solve for x
   x = 3,196,997,764/25,780
6. Step 6: Final answer
   x = 124,010.77