Finding the Third Proportional to 12,778 and 14,020

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778 : 14,020 = 14,020 : x
2. Step 2: Convert to fraction form
   12,778/14,020 = 14,020/x
3. Step 3: Cross multiply
   12,778x = 14,020 × 14,020
4. Step 4: Simplify right side
   12,778x = 196,560,400
5. Step 5: Solve for x
   x = 196,560,400/12,778
6. Step 6: Final answer
   x = 15,382.72