Finding the Third Proportional to 25,878 and 52,845

Step by Step Solution

1. Step 1: Write the proportion equation
   25,878 : 52,845 = 52,845 : x
2. Step 2: Convert to fraction form
   25,878/52,845 = 52,845/x
3. Step 3: Cross multiply
   25,878x = 52,845 × 52,845
4. Step 4: Simplify right side
   25,878x = 2,792,594,025
5. Step 5: Solve for x
   x = 2,792,594,025/25,878
6. Step 6: Final answer
   x = 107,913.83