Finding the Third Proportional to 6,646 and 10,577

Step by Step Solution

1. Step 1: Write the proportion equation
   6,646 : 10,577 = 10,577 : x
2. Step 2: Convert to fraction form
   6,646/10,577 = 10,577/x
3. Step 3: Cross multiply
   6,646x = 10,577 × 10,577
4. Step 4: Simplify right side
   6,646x = 111,872,929
5. Step 5: Solve for x
   x = 111,872,929/6,646
6. Step 6: Final answer
   x = 16,833.12