Finding the Third Proportional to 25,698 and 55,524

Step by Step Solution

1. Step 1: Write the proportion equation
   25,698 : 55,524 = 55,524 : x
2. Step 2: Convert to fraction form
   25,698/55,524 = 55,524/x
3. Step 3: Cross multiply
   25,698x = 55,524 × 55,524
4. Step 4: Simplify right side
   25,698x = 3,082,914,576
5. Step 5: Solve for x
   x = 3,082,914,576/25,698
6. Step 6: Final answer
   x = 119,967.10