Finding the Third Proportional to 10,667 and 16,757

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667 : 16,757 = 16,757 : x
2. Step 2: Convert to fraction form
   10,667/16,757 = 16,757/x
3. Step 3: Cross multiply
   10,667x = 16,757 × 16,757
4. Step 4: Simplify right side
   10,667x = 280,797,049
5. Step 5: Solve for x
   x = 280,797,049/10,667
6. Step 6: Final answer
   x = 26,323.90