Finding the Third Proportional to 10,666 and 14,153.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 14,153.25 = 14,153.25 : x
2. Step 2: Convert to fraction form
   10,666/14,153.25 = 14,153.25/x
3. Step 3: Cross multiply
   10,666x = 14,153.25 × 14,153.25
4. Step 4: Simplify right side
   10,666x = 200,314,485.56
5. Step 5: Solve for x
   x = 200,314,485.56/10,666
6. Step 6: Final answer
   x = 18,780.66