Finding the Third Proportional to 1,227.09 and 1,823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.09 : 1,823.34 = 1,823.34 : x
2. Step 2: Convert to fraction form
   1,227.09/1,823.34 = 1,823.34/x
3. Step 3: Cross multiply
   1,227.09x = 1,823.34 × 1,823.34
4. Step 4: Simplify right side
   1,227.09x = 3,324,582.43
5. Step 5: Solve for x
   x = 3,324,582.43/1,227.09
6. Step 6: Final answer
   x = 2,709.31