Finding the Third Proportional to 4,006 and 5,514

Step by Step Solution

1. Step 1: Write the proportion equation
   4,006 : 5,514 = 5,514 : x
2. Step 2: Convert to fraction form
   4,006/5,514 = 5,514/x
3. Step 3: Cross multiply
   4,006x = 5,514 × 5,514
4. Step 4: Simplify right side
   4,006x = 30,404,196
5. Step 5: Solve for x
   x = 30,404,196/4,006
6. Step 6: Final answer
   x = 7,589.66