Finding the Third Proportional to 17,674 and 37,166

Step by Step Solution

1. Step 1: Write the proportion equation
   17,674 : 37,166 = 37,166 : x
2. Step 2: Convert to fraction form
   17,674/37,166 = 37,166/x
3. Step 3: Cross multiply
   17,674x = 37,166 × 37,166
4. Step 4: Simplify right side
   17,674x = 1,381,311,556
5. Step 5: Solve for x
   x = 1,381,311,556/17,674
6. Step 6: Final answer
   x = 78,155.00