Finding the Third Proportional to 963.14 and 2,026.27

Step by Step Solution

1. Step 1: Write the proportion equation
   963.14 : 2,026.27 = 2,026.27 : x
2. Step 2: Convert to fraction form
   963.14/2,026.27 = 2,026.27/x
3. Step 3: Cross multiply
   963.14x = 2,026.27 × 2,026.27
4. Step 4: Simplify right side
   963.14x = 4,105,752.38
5. Step 5: Solve for x
   x = 4,105,752.38/963.14
6. Step 6: Final answer
   x = 4,262.88