Finding the Third Proportional to 17,784 and 41,166

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 41,166 = 41,166 : x
2. Step 2: Convert to fraction form
   17,784/41,166 = 41,166/x
3. Step 3: Cross multiply
   17,784x = 41,166 × 41,166
4. Step 4: Simplify right side
   17,784x = 1,694,639,556
5. Step 5: Solve for x
   x = 1,694,639,556/17,784
6. Step 6: Final answer
   x = 95,290.12