Finding the Third Proportional to 41,016 and 89,443

Step by Step Solution

1. Step 1: Write the proportion equation
   41,016 : 89,443 = 89,443 : x
2. Step 2: Convert to fraction form
   41,016/89,443 = 89,443/x
3. Step 3: Cross multiply
   41,016x = 89,443 × 89,443
4. Step 4: Simplify right side
   41,016x = 8,000,050,249
5. Step 5: Solve for x
   x = 8,000,050,249/41,016
6. Step 6: Final answer
   x = 195,047.06