Finding the Third Proportional to 25,743 and 55,878

Step by Step Solution

1. Step 1: Write the proportion equation
   25,743 : 55,878 = 55,878 : x
2. Step 2: Convert to fraction form
   25,743/55,878 = 55,878/x
3. Step 3: Cross multiply
   25,743x = 55,878 × 55,878
4. Step 4: Simplify right side
   25,743x = 3,122,350,884
5. Step 5: Solve for x
   x = 3,122,350,884/25,743
6. Step 6: Final answer
   x = 121,289.32