Finding the Third Proportional to 2,338 and 3,524

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338 : 3,524 = 3,524 : x
2. Step 2: Convert to fraction form
   2,338/3,524 = 3,524/x
3. Step 3: Cross multiply
   2,338x = 3,524 × 3,524
4. Step 4: Simplify right side
   2,338x = 12,418,576
5. Step 5: Solve for x
   x = 12,418,576/2,338
6. Step 6: Final answer
   x = 5,311.62