Finding the Third Proportional to 9,757 and 23,022

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757 : 23,022 = 23,022 : x
2. Step 2: Convert to fraction form
   9,757/23,022 = 23,022/x
3. Step 3: Cross multiply
   9,757x = 23,022 × 23,022
4. Step 4: Simplify right side
   9,757x = 530,012,484
5. Step 5: Solve for x
   x = 530,012,484/9,757
6. Step 6: Final answer
   x = 54,321.25