Finding the Third Proportional to 10,022 and 12,816

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 12,816 = 12,816 : x
2. Step 2: Convert to fraction form
   10,022/12,816 = 12,816/x
3. Step 3: Cross multiply
   10,022x = 12,816 × 12,816
4. Step 4: Simplify right side
   10,022x = 164,249,856
5. Step 5: Solve for x
   x = 164,249,856/10,022
6. Step 6: Final answer
   x = 16,388.93