Finding the Third Proportional to 10,674 and 17,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,674 : 17,766 = 17,766 : x
2. Step 2: Convert to fraction form
   10,674/17,766 = 17,766/x
3. Step 3: Cross multiply
   10,674x = 17,766 × 17,766
4. Step 4: Simplify right side
   10,674x = 315,630,756
5. Step 5: Solve for x
   x = 315,630,756/10,674
6. Step 6: Final answer
   x = 29,570.05