Finding the Third Proportional to 25,728 and 53,504

Step by Step Solution

1. Step 1: Write the proportion equation
   25,728 : 53,504 = 53,504 : x
2. Step 2: Convert to fraction form
   25,728/53,504 = 53,504/x
3. Step 3: Cross multiply
   25,728x = 53,504 × 53,504
4. Step 4: Simplify right side
   25,728x = 2,862,678,016
5. Step 5: Solve for x
   x = 2,862,678,016/25,728
6. Step 6: Final answer
   x = 111,267.02