Finding the Third Proportional to 11,549 and 17,891

Step by Step Solution

1. Step 1: Write the proportion equation
   11,549 : 17,891 = 17,891 : x
2. Step 2: Convert to fraction form
   11,549/17,891 = 17,891/x
3. Step 3: Cross multiply
   11,549x = 17,891 × 17,891
4. Step 4: Simplify right side
   11,549x = 320,087,881
5. Step 5: Solve for x
   x = 320,087,881/11,549
6. Step 6: Final answer
   x = 27,715.64