Finding the Third Proportional to 17,736 and 38,166

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 38,166 = 38,166 : x
2. Step 2: Convert to fraction form
   17,736/38,166 = 38,166/x
3. Step 3: Cross multiply
   17,736x = 38,166 × 38,166
4. Step 4: Simplify right side
   17,736x = 1,456,643,556
5. Step 5: Solve for x
   x = 1,456,643,556/17,736
6. Step 6: Final answer
   x = 82,129.20