Finding the Third Proportional to 1,024.52 and 1,567.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.52 : 1,567.79 = 1,567.79 : x
2. Step 2: Convert to fraction form
   1,024.52/1,567.79 = 1,567.79/x
3. Step 3: Cross multiply
   1,024.52x = 1,567.79 × 1,567.79
4. Step 4: Simplify right side
   1,024.52x = 2,457,974.79
5. Step 5: Solve for x
   x = 2,457,974.79/1,024.52
6. Step 6: Final answer
   x = 2,399.14