Finding the Third Proportional to 965.25 and 2,271.38

Step by Step Solution

1. Step 1: Write the proportion equation
   965.25 : 2,271.38 = 2,271.38 : x
2. Step 2: Convert to fraction form
   965.25/2,271.38 = 2,271.38/x
3. Step 3: Cross multiply
   965.25x = 2,271.38 × 2,271.38
4. Step 4: Simplify right side
   965.25x = 5,159,144.39
5. Step 5: Solve for x
   x = 5,159,144.39/965.25
6. Step 6: Final answer
   x = 5,344.88