Finding the Third Proportional to 628.50 and 965.38

Step by Step Solution

1. Step 1: Write the proportion equation
   628.50 : 965.38 = 965.38 : x
2. Step 2: Convert to fraction form
   628.50/965.38 = 965.38/x
3. Step 3: Cross multiply
   628.50x = 965.38 × 965.38
4. Step 4: Simplify right side
   628.50x = 931,948.89
5. Step 5: Solve for x
   x = 931,948.89/628.50
6. Step 6: Final answer
   x = 1,482.81