Finding the Third Proportional to 17,885 and 41,405

Step by Step Solution

1. Step 1: Write the proportion equation
   17,885 : 41,405 = 41,405 : x
2. Step 2: Convert to fraction form
   17,885/41,405 = 41,405/x
3. Step 3: Cross multiply
   17,885x = 41,405 × 41,405
4. Step 4: Simplify right side
   17,885x = 1,714,374,025
5. Step 5: Solve for x
   x = 1,714,374,025/17,885
6. Step 6: Final answer
   x = 95,855.41