Finding the Third Proportional to 10,692 and 16,022

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692 : 16,022 = 16,022 : x
2. Step 2: Convert to fraction form
   10,692/16,022 = 16,022/x
3. Step 3: Cross multiply
   10,692x = 16,022 × 16,022
4. Step 4: Simplify right side
   10,692x = 256,704,484
5. Step 5: Solve for x
   x = 256,704,484/10,692
6. Step 6: Final answer
   x = 24,009.02