Finding the Third Proportional to 3,856 and 7,980

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856 : 7,980 = 7,980 : x
2. Step 2: Convert to fraction form
   3,856/7,980 = 7,980/x
3. Step 3: Cross multiply
   3,856x = 7,980 × 7,980
4. Step 4: Simplify right side
   3,856x = 63,680,400
5. Step 5: Solve for x
   x = 63,680,400/3,856
6. Step 6: Final answer
   x = 16,514.63