Finding the Third Proportional to 25,774 and 56,529

Step by Step Solution

1. Step 1: Write the proportion equation
   25,774 : 56,529 = 56,529 : x
2. Step 2: Convert to fraction form
   25,774/56,529 = 56,529/x
3. Step 3: Cross multiply
   25,774x = 56,529 × 56,529
4. Step 4: Simplify right side
   25,774x = 3,195,527,841
5. Step 5: Solve for x
   x = 3,195,527,841/25,774
6. Step 6: Final answer
   x = 123,982.61