Finding the Third Proportional to 11,314 and 14,966

Step by Step Solution

1. Step 1: Write the proportion equation
   11,314 : 14,966 = 14,966 : x
2. Step 2: Convert to fraction form
   11,314/14,966 = 14,966/x
3. Step 3: Cross multiply
   11,314x = 14,966 × 14,966
4. Step 4: Simplify right side
   11,314x = 223,981,156
5. Step 5: Solve for x
   x = 223,981,156/11,314
6. Step 6: Final answer
   x = 19,796.81