Finding the Third Proportional to 25,857 and 55,839

Step by Step Solution

1. Step 1: Write the proportion equation
   25,857 : 55,839 = 55,839 : x
2. Step 2: Convert to fraction form
   25,857/55,839 = 55,839/x
3. Step 3: Cross multiply
   25,857x = 55,839 × 55,839
4. Step 4: Simplify right side
   25,857x = 3,117,993,921
5. Step 5: Solve for x
   x = 3,117,993,921/25,857
6. Step 6: Final answer
   x = 120,586.07