Finding the Third Proportional to 12,018 and 17,577

Step by Step Solution

1. Step 1: Write the proportion equation
   12,018 : 17,577 = 17,577 : x
2. Step 2: Convert to fraction form
   12,018/17,577 = 17,577/x
3. Step 3: Cross multiply
   12,018x = 17,577 × 17,577
4. Step 4: Simplify right side
   12,018x = 308,950,929
5. Step 5: Solve for x
   x = 308,950,929/12,018
6. Step 6: Final answer
   x = 25,707.35