Finding the Third Proportional to 41,021 and 89,157

Step by Step Solution

1. Step 1: Write the proportion equation
   41,021 : 89,157 = 89,157 : x
2. Step 2: Convert to fraction form
   41,021/89,157 = 89,157/x
3. Step 3: Cross multiply
   41,021x = 89,157 × 89,157
4. Step 4: Simplify right side
   41,021x = 7,948,970,649
5. Step 5: Solve for x
   x = 7,948,970,649/41,021
6. Step 6: Final answer
   x = 193,778.08