Finding the Third Proportional to 25,845 and 54,801

Step by Step Solution

1. Step 1: Write the proportion equation
   25,845 : 54,801 = 54,801 : x
2. Step 2: Convert to fraction form
   25,845/54,801 = 54,801/x
3. Step 3: Cross multiply
   25,845x = 54,801 × 54,801
4. Step 4: Simplify right side
   25,845x = 3,003,149,601
5. Step 5: Solve for x
   x = 3,003,149,601/25,845
6. Step 6: Final answer
   x = 116,198.48