Finding the Third Proportional to 25,596 and 55,143

Step by Step Solution

1. Step 1: Write the proportion equation
   25,596 : 55,143 = 55,143 : x
2. Step 2: Convert to fraction form
   25,596/55,143 = 55,143/x
3. Step 3: Cross multiply
   25,596x = 55,143 × 55,143
4. Step 4: Simplify right side
   25,596x = 3,040,750,449
5. Step 5: Solve for x
   x = 3,040,750,449/25,596
6. Step 6: Final answer
   x = 118,797.88