Finding the Third Proportional to 1,224.28 and 1,567.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,224.28 : 1,567.27 = 1,567.27 : x
2. Step 2: Convert to fraction form
   1,224.28/1,567.27 = 1,567.27/x
3. Step 3: Cross multiply
   1,224.28x = 1,567.27 × 1,567.27
4. Step 4: Simplify right side
   1,224.28x = 2,456,321.54
5. Step 5: Solve for x
   x = 2,456,321.54/1,224.28
6. Step 6: Final answer
   x = 2,006.34