Finding the Third Proportional to 25,509 and 55,878

Step by Step Solution

1. Step 1: Write the proportion equation
   25,509 : 55,878 = 55,878 : x
2. Step 2: Convert to fraction form
   25,509/55,878 = 55,878/x
3. Step 3: Cross multiply
   25,509x = 55,878 × 55,878
4. Step 4: Simplify right side
   25,509x = 3,122,350,884
5. Step 5: Solve for x
   x = 3,122,350,884/25,509
6. Step 6: Final answer
   x = 122,401.93