Finding the Third Proportional to 25,896 and 54,384

Step by Step Solution

1. Step 1: Write the proportion equation
   25,896 : 54,384 = 54,384 : x
2. Step 2: Convert to fraction form
   25,896/54,384 = 54,384/x
3. Step 3: Cross multiply
   25,896x = 54,384 × 54,384
4. Step 4: Simplify right side
   25,896x = 2,957,619,456
5. Step 5: Solve for x
   x = 2,957,619,456/25,896
6. Step 6: Final answer
   x = 114,211.44