Finding the Third Proportional to 41,986 and 91,676

Step by Step Solution

1. Step 1: Write the proportion equation
   41,986 : 91,676 = 91,676 : x
2. Step 2: Convert to fraction form
   41,986/91,676 = 91,676/x
3. Step 3: Cross multiply
   41,986x = 91,676 × 91,676
4. Step 4: Simplify right side
   41,986x = 8,404,488,976
5. Step 5: Solve for x
   x = 8,404,488,976/41,986
6. Step 6: Final answer
   x = 200,173.60