Finding the Third Proportional to 6,514 and 10,694

Step by Step Solution

1. Step 1: Write the proportion equation
   6,514 : 10,694 = 10,694 : x
2. Step 2: Convert to fraction form
   6,514/10,694 = 10,694/x
3. Step 3: Cross multiply
   6,514x = 10,694 × 10,694
4. Step 4: Simplify right side
   6,514x = 114,361,636
5. Step 5: Solve for x
   x = 114,361,636/6,514
6. Step 6: Final answer
   x = 17,556.28