Finding the Third Proportional to 1,223.23 and 1,796.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.23 : 1,796.24 = 1,796.24 : x
2. Step 2: Convert to fraction form
   1,223.23/1,796.24 = 1,796.24/x
3. Step 3: Cross multiply
   1,223.23x = 1,796.24 × 1,796.24
4. Step 4: Simplify right side
   1,223.23x = 3,226,471.96
5. Step 5: Solve for x
   x = 3,226,471.96/1,223.23
6. Step 6: Final answer
   x = 2,637.67