Finding the Third Proportional to 25,711 and 54,814

Step by Step Solution

1. Step 1: Write the proportion equation
   25,711 : 54,814 = 54,814 : x
2. Step 2: Convert to fraction form
   25,711/54,814 = 54,814/x
3. Step 3: Cross multiply
   25,711x = 54,814 × 54,814
4. Step 4: Simplify right side
   25,711x = 3,004,574,596
5. Step 5: Solve for x
   x = 3,004,574,596/25,711
6. Step 6: Final answer
   x = 116,859.50