Finding the Third Proportional to 19,934 and 41,166

Step by Step Solution

1. Step 1: Write the proportion equation
   19,934 : 41,166 = 41,166 : x
2. Step 2: Convert to fraction form
   19,934/41,166 = 41,166/x
3. Step 3: Cross multiply
   19,934x = 41,166 × 41,166
4. Step 4: Simplify right side
   19,934x = 1,694,639,556
5. Step 5: Solve for x
   x = 1,694,639,556/19,934
6. Step 6: Final answer
   x = 85,012.52