Finding the Third Proportional to 6,780 and 10,514

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 10,514 = 10,514 : x
2. Step 2: Convert to fraction form
   6,780/10,514 = 10,514/x
3. Step 3: Cross multiply
   6,780x = 10,514 × 10,514
4. Step 4: Simplify right side
   6,780x = 110,544,196
5. Step 5: Solve for x
   x = 110,544,196/6,780
6. Step 6: Final answer
   x = 16,304.45