Finding the Third Proportional to 41,742 and 91,443

Step by Step Solution

1. Step 1: Write the proportion equation
   41,742 : 91,443 = 91,443 : x
2. Step 2: Convert to fraction form
   41,742/91,443 = 91,443/x
3. Step 3: Cross multiply
   41,742x = 91,443 × 91,443
4. Step 4: Simplify right side
   41,742x = 8,361,822,249
5. Step 5: Solve for x
   x = 8,361,822,249/41,742
6. Step 6: Final answer
   x = 200,321.55