Finding the Third Proportional to 756.38 and 964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   756.38 : 964.50 = 964.50 : x
2. Step 2: Convert to fraction form
   756.38/964.50 = 964.50/x
3. Step 3: Cross multiply
   756.38x = 964.50 × 964.50
4. Step 4: Simplify right side
   756.38x = 930,260.25
5. Step 5: Solve for x
   x = 930,260.25/756.38
6. Step 6: Final answer
   x = 1,229.89