Finding the Third Proportional to 10,908 and 17,577

Step by Step Solution

1. Step 1: Write the proportion equation
   10,908 : 17,577 = 17,577 : x
2. Step 2: Convert to fraction form
   10,908/17,577 = 17,577/x
3. Step 3: Cross multiply
   10,908x = 17,577 × 17,577
4. Step 4: Simplify right side
   10,908x = 308,950,929
5. Step 5: Solve for x
   x = 308,950,929/10,908
6. Step 6: Final answer
   x = 28,323.33