Finding the Third Proportional to 11,154 and 12,666

Step by Step Solution

1. Step 1: Write the proportion equation
   11,154 : 12,666 = 12,666 : x
2. Step 2: Convert to fraction form
   11,154/12,666 = 12,666/x
3. Step 3: Cross multiply
   11,154x = 12,666 × 12,666
4. Step 4: Simplify right side
   11,154x = 160,427,556
5. Step 5: Solve for x
   x = 160,427,556/11,154
6. Step 6: Final answer
   x = 14,382.96