Finding the Third Proportional to 25,774 and 56,462

Step by Step Solution

1. Step 1: Write the proportion equation
   25,774 : 56,462 = 56,462 : x
2. Step 2: Convert to fraction form
   25,774/56,462 = 56,462/x
3. Step 3: Cross multiply
   25,774x = 56,462 × 56,462
4. Step 4: Simplify right side
   25,774x = 3,187,957,444
5. Step 5: Solve for x
   x = 3,187,957,444/25,774
6. Step 6: Final answer
   x = 123,688.89