Finding the Third Proportional to 1,227.66 and 1,783.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.66 : 1,783.27 = 1,783.27 : x
2. Step 2: Convert to fraction form
   1,227.66/1,783.27 = 1,783.27/x
3. Step 3: Cross multiply
   1,227.66x = 1,783.27 × 1,783.27
4. Step 4: Simplify right side
   1,227.66x = 3,180,036.29
5. Step 5: Solve for x
   x = 3,180,036.29/1,227.66
6. Step 6: Final answer
   x = 2,590.33