Finding the Third Proportional to 41,166 and 65,799

Step by Step Solution

1. Step 1: Write the proportion equation
   41,166 : 65,799 = 65,799 : x
2. Step 2: Convert to fraction form
   41,166/65,799 = 65,799/x
3. Step 3: Cross multiply
   41,166x = 65,799 × 65,799
4. Step 4: Simplify right side
   41,166x = 4,329,508,401
5. Step 5: Solve for x
   x = 4,329,508,401/41,166
6. Step 6: Final answer
   x = 105,171.95