Finding the Third Proportional to 25,777 and 54,320

Step by Step Solution

1. Step 1: Write the proportion equation
   25,777 : 54,320 = 54,320 : x
2. Step 2: Convert to fraction form
   25,777/54,320 = 54,320/x
3. Step 3: Cross multiply
   25,777x = 54,320 × 54,320
4. Step 4: Simplify right side
   25,777x = 2,950,662,400
5. Step 5: Solve for x
   x = 2,950,662,400/25,777
6. Step 6: Final answer
   x = 114,468.81