Finding the Third Proportional to 25,569 and 55,431

Step by Step Solution

1. Step 1: Write the proportion equation
   25,569 : 55,431 = 55,431 : x
2. Step 2: Convert to fraction form
   25,569/55,431 = 55,431/x
3. Step 3: Cross multiply
   25,569x = 55,431 × 55,431
4. Step 4: Simplify right side
   25,569x = 3,072,595,761
5. Step 5: Solve for x
   x = 3,072,595,761/25,569
6. Step 6: Final answer
   x = 120,168.79