Finding the Third Proportional to 963.38 and 1,402.69

Step by Step Solution

1. Step 1: Write the proportion equation
   963.38 : 1,402.69 = 1,402.69 : x
2. Step 2: Convert to fraction form
   963.38/1,402.69 = 1,402.69/x
3. Step 3: Cross multiply
   963.38x = 1,402.69 × 1,402.69
4. Step 4: Simplify right side
   963.38x = 1,967,532.22
5. Step 5: Solve for x
   x = 1,967,532.22/963.38
6. Step 6: Final answer
   x = 2,042.33