Finding the Third Proportional to 3,978 and 8,514

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978 : 8,514 = 8,514 : x
2. Step 2: Convert to fraction form
   3,978/8,514 = 8,514/x
3. Step 3: Cross multiply
   3,978x = 8,514 × 8,514
4. Step 4: Simplify right side
   3,978x = 72,488,196
5. Step 5: Solve for x
   x = 72,488,196/3,978
6. Step 6: Final answer
   x = 18,222.27