Finding the Third Proportional to 10,685 and 14,287

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685 : 14,287 = 14,287 : x
2. Step 2: Convert to fraction form
   10,685/14,287 = 14,287/x
3. Step 3: Cross multiply
   10,685x = 14,287 × 14,287
4. Step 4: Simplify right side
   10,685x = 204,118,369
5. Step 5: Solve for x
   x = 204,118,369/10,685
6. Step 6: Final answer
   x = 19,103.26