Finding the Third Proportional to 1,227.66 and 2,026.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.66 : 2,026.27 = 2,026.27 : x
2. Step 2: Convert to fraction form
   1,227.66/2,026.27 = 2,026.27/x
3. Step 3: Cross multiply
   1,227.66x = 2,026.27 × 2,026.27
4. Step 4: Simplify right side
   1,227.66x = 4,105,752.38
5. Step 5: Solve for x
   x = 4,105,752.38/1,227.66
6. Step 6: Final answer
   x = 3,344.38