Finding the Third Proportional to 11,466 and 17,741

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466 : 17,741 = 17,741 : x
2. Step 2: Convert to fraction form
   11,466/17,741 = 17,741/x
3. Step 3: Cross multiply
   11,466x = 17,741 × 17,741
4. Step 4: Simplify right side
   11,466x = 314,743,081
5. Step 5: Solve for x
   x = 314,743,081/11,466
6. Step 6: Final answer
   x = 27,450.12