Finding the Third Proportional to 17,408 and 41,086

Step by Step Solution

1. Step 1: Write the proportion equation
   17,408 : 41,086 = 41,086 : x
2. Step 2: Convert to fraction form
   17,408/41,086 = 41,086/x
3. Step 3: Cross multiply
   17,408x = 41,086 × 41,086
4. Step 4: Simplify right side
   17,408x = 1,688,059,396
5. Step 5: Solve for x
   x = 1,688,059,396/17,408
6. Step 6: Final answer
   x = 96,970.32