Finding the Third Proportional to 25,569 and 55,296

Step by Step Solution

1. Step 1: Write the proportion equation
   25,569 : 55,296 = 55,296 : x
2. Step 2: Convert to fraction form
   25,569/55,296 = 55,296/x
3. Step 3: Cross multiply
   25,569x = 55,296 × 55,296
4. Step 4: Simplify right side
   25,569x = 3,057,647,616
5. Step 5: Solve for x
   x = 3,057,647,616/25,569
6. Step 6: Final answer
   x = 119,584.17