Finding the Third Proportional to 19,674 and 31,166

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 31,166 = 31,166 : x
2. Step 2: Convert to fraction form
   19,674/31,166 = 31,166/x
3. Step 3: Cross multiply
   19,674x = 31,166 × 31,166
4. Step 4: Simplify right side
   19,674x = 971,319,556
5. Step 5: Solve for x
   x = 971,319,556/19,674
6. Step 6: Final answer
   x = 49,370.72