Finding the Third Proportional to 6,470 and 10,686

Step by Step Solution

1. Step 1: Write the proportion equation
   6,470 : 10,686 = 10,686 : x
2. Step 2: Convert to fraction form
   6,470/10,686 = 10,686/x
3. Step 3: Cross multiply
   6,470x = 10,686 × 10,686
4. Step 4: Simplify right side
   6,470x = 114,190,596
5. Step 5: Solve for x
   x = 114,190,596/6,470
6. Step 6: Final answer
   x = 17,649.24