Finding the Third Proportional to 25,774 and 54,314

Step by Step Solution

1. Step 1: Write the proportion equation
   25,774 : 54,314 = 54,314 : x
2. Step 2: Convert to fraction form
   25,774/54,314 = 54,314/x
3. Step 3: Cross multiply
   25,774x = 54,314 × 54,314
4. Step 4: Simplify right side
   25,774x = 2,950,010,596
5. Step 5: Solve for x
   x = 2,950,010,596/25,774
6. Step 6: Final answer
   x = 114,456.84