Finding the Third Proportional to 25,583 and 55,542

Step by Step Solution

1. Step 1: Write the proportion equation
   25,583 : 55,542 = 55,542 : x
2. Step 2: Convert to fraction form
   25,583/55,542 = 55,542/x
3. Step 3: Cross multiply
   25,583x = 55,542 × 55,542
4. Step 4: Simplify right side
   25,583x = 3,084,913,764
5. Step 5: Solve for x
   x = 3,084,913,764/25,583
6. Step 6: Final answer
   x = 120,584.52