Finding the Third Proportional to 10,666 and 14,919

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 14,919 = 14,919 : x
2. Step 2: Convert to fraction form
   10,666/14,919 = 14,919/x
3. Step 3: Cross multiply
   10,666x = 14,919 × 14,919
4. Step 4: Simplify right side
   10,666x = 222,576,561
5. Step 5: Solve for x
   x = 222,576,561/10,666
6. Step 6: Final answer
   x = 20,867.86