Finding the Third Proportional to 9,767.25 and 23,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.25 : 23,033.25 = 23,033.25 : x
2. Step 2: Convert to fraction form
   9,767.25/23,033.25 = 23,033.25/x
3. Step 3: Cross multiply
   9,767.25x = 23,033.25 × 23,033.25
4. Step 4: Simplify right side
   9,767.25x = 530,530,605.56
5. Step 5: Solve for x
   x = 530,530,605.56/9,767.25
6. Step 6: Final answer
   x = 54,317.30