Finding the Third Proportional to 25,758 and 54,864

Step by Step Solution

1. Step 1: Write the proportion equation
   25,758 : 54,864 = 54,864 : x
2. Step 2: Convert to fraction form
   25,758/54,864 = 54,864/x
3. Step 3: Cross multiply
   25,758x = 54,864 × 54,864
4. Step 4: Simplify right side
   25,758x = 3,010,058,496
5. Step 5: Solve for x
   x = 3,010,058,496/25,758
6. Step 6: Final answer
   x = 116,859.17