Finding the Third Proportional to 41,649 and 91,065

Step by Step Solution

1. Step 1: Write the proportion equation
   41,649 : 91,065 = 91,065 : x
2. Step 2: Convert to fraction form
   41,649/91,065 = 91,065/x
3. Step 3: Cross multiply
   41,649x = 91,065 × 91,065
4. Step 4: Simplify right side
   41,649x = 8,292,834,225
5. Step 5: Solve for x
   x = 8,292,834,225/41,649
6. Step 6: Final answer
   x = 199,112.45