Finding the Third Proportional to 41,005 and 89,669

Step by Step Solution

1. Step 1: Write the proportion equation
   41,005 : 89,669 = 89,669 : x
2. Step 2: Convert to fraction form
   41,005/89,669 = 89,669/x
3. Step 3: Cross multiply
   41,005x = 89,669 × 89,669
4. Step 4: Simplify right side
   41,005x = 8,040,529,561
5. Step 5: Solve for x
   x = 8,040,529,561/41,005
6. Step 6: Final answer
   x = 196,086.56