Finding the Third Proportional to 18,916 and 41,105

Step by Step Solution

1. Step 1: Write the proportion equation
   18,916 : 41,105 = 41,105 : x
2. Step 2: Convert to fraction form
   18,916/41,105 = 41,105/x
3. Step 3: Cross multiply
   18,916x = 41,105 × 41,105
4. Step 4: Simplify right side
   18,916x = 1,689,621,025
5. Step 5: Solve for x
   x = 1,689,621,025/18,916
6. Step 6: Final answer
   x = 89,322.32