Finding the Third Proportional to 10,500 and 14,022

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 14,022 = 14,022 : x
2. Step 2: Convert to fraction form
   10,500/14,022 = 14,022/x
3. Step 3: Cross multiply
   10,500x = 14,022 × 14,022
4. Step 4: Simplify right side
   10,500x = 196,616,484
5. Step 5: Solve for x
   x = 196,616,484/10,500
6. Step 6: Final answer
   x = 18,725.38