Finding the Third Proportional to 3,594 and 5,524

Step by Step Solution

1. Step 1: Write the proportion equation
   3,594 : 5,524 = 5,524 : x
2. Step 2: Convert to fraction form
   3,594/5,524 = 5,524/x
3. Step 3: Cross multiply
   3,594x = 5,524 × 5,524
4. Step 4: Simplify right side
   3,594x = 30,514,576
5. Step 5: Solve for x
   x = 30,514,576/3,594
6. Step 6: Final answer
   x = 8,490.42