Finding the Third Proportional to 13,778 and 16,766

Step by Step Solution

1. Step 1: Write the proportion equation
   13,778 : 16,766 = 16,766 : x
2. Step 2: Convert to fraction form
   13,778/16,766 = 16,766/x
3. Step 3: Cross multiply
   13,778x = 16,766 × 16,766
4. Step 4: Simplify right side
   13,778x = 281,098,756
5. Step 5: Solve for x
   x = 281,098,756/13,778
6. Step 6: Final answer
   x = 20,402