Finding the Third Proportional to 10,022 and 14,436

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 14,436 = 14,436 : x
2. Step 2: Convert to fraction form
   10,022/14,436 = 14,436/x
3. Step 3: Cross multiply
   10,022x = 14,436 × 14,436
4. Step 4: Simplify right side
   10,022x = 208,398,096
5. Step 5: Solve for x
   x = 208,398,096/10,022
6. Step 6: Final answer
   x = 20,794.06