Finding the Third Proportional to 9,814 and 14,020

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814 : 14,020 = 14,020 : x
2. Step 2: Convert to fraction form
   9,814/14,020 = 14,020/x
3. Step 3: Cross multiply
   9,814x = 14,020 × 14,020
4. Step 4: Simplify right side
   9,814x = 196,560,400
5. Step 5: Solve for x
   x = 196,560,400/9,814
6. Step 6: Final answer
   x = 20,028.57