Finding the Third Proportional to 25,344 and 53,856

Step by Step Solution

1. Step 1: Write the proportion equation
   25,344 : 53,856 = 53,856 : x
2. Step 2: Convert to fraction form
   25,344/53,856 = 53,856/x
3. Step 3: Cross multiply
   25,344x = 53,856 × 53,856
4. Step 4: Simplify right side
   25,344x = 2,900,468,736
5. Step 5: Solve for x
   x = 2,900,468,736/25,344
6. Step 6: Final answer
   x = 114,444