Finding the Third Proportional to 11,914 and 17,524

Step by Step Solution

1. Step 1: Write the proportion equation
   11,914 : 17,524 = 17,524 : x
2. Step 2: Convert to fraction form
   11,914/17,524 = 17,524/x
3. Step 3: Cross multiply
   11,914x = 17,524 × 17,524
4. Step 4: Simplify right side
   11,914x = 307,090,576
5. Step 5: Solve for x
   x = 307,090,576/11,914
6. Step 6: Final answer
   x = 25,775.61