Finding the Third Proportional to 11,661.89 and 17,577

Step by Step Solution

1. Step 1: Write the proportion equation
   11,661.89 : 17,577 = 17,577 : x
2. Step 2: Convert to fraction form
   11,661.89/17,577 = 17,577/x
3. Step 3: Cross multiply
   11,661.89x = 17,577 × 17,577
4. Step 4: Simplify right side
   11,661.89x = 308,950,929
5. Step 5: Solve for x
   x = 308,950,929/11,661.89
6. Step 6: Final answer
   x = 26,492.35