Finding the Third Proportional to 10,814 and 16,699

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 16,699 = 16,699 : x
2. Step 2: Convert to fraction form
   10,814/16,699 = 16,699/x
3. Step 3: Cross multiply
   10,814x = 16,699 × 16,699
4. Step 4: Simplify right side
   10,814x = 278,856,601
5. Step 5: Solve for x
   x = 278,856,601/10,814
6. Step 6: Final answer
   x = 25,786.63