Finding the Third Proportional to 9,700 and 16,022

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700 : 16,022 = 16,022 : x
2. Step 2: Convert to fraction form
   9,700/16,022 = 16,022/x
3. Step 3: Cross multiply
   9,700x = 16,022 × 16,022
4. Step 4: Simplify right side
   9,700x = 256,704,484
5. Step 5: Solve for x
   x = 256,704,484/9,700
6. Step 6: Final answer
   x = 26,464.38