Finding the Third Proportional to 565.69 and 870.56

Step by Step Solution

1. Step 1: Write the proportion equation
   565.69 : 870.56 = 870.56 : x
2. Step 2: Convert to fraction form
   565.69/870.56 = 870.56/x
3. Step 3: Cross multiply
   565.69x = 870.56 × 870.56
4. Step 4: Simplify right side
   565.69x = 757,879.07
5. Step 5: Solve for x
   x = 757,879.07/565.69
6. Step 6: Final answer
   x = 1,339.75