Finding the Third Proportional to 25,876 and 54,884

Step by Step Solution

1. Step 1: Write the proportion equation
   25,876 : 54,884 = 54,884 : x
2. Step 2: Convert to fraction form
   25,876/54,884 = 54,884/x
3. Step 3: Cross multiply
   25,876x = 54,884 × 54,884
4. Step 4: Simplify right side
   25,876x = 3,012,253,456
5. Step 5: Solve for x
   x = 3,012,253,456/25,876
6. Step 6: Final answer
   x = 116,411.09