Finding the Third Proportional to 25,870 and 54,116

Step by Step Solution

1. Step 1: Write the proportion equation
   25,870 : 54,116 = 54,116 : x
2. Step 2: Convert to fraction form
   25,870/54,116 = 54,116/x
3. Step 3: Cross multiply
   25,870x = 54,116 × 54,116
4. Step 4: Simplify right side
   25,870x = 2,928,541,456
5. Step 5: Solve for x
   x = 2,928,541,456/25,870
6. Step 6: Final answer
   x = 113,202.22