Finding the Third Proportional to 571.50 and 756.56

Step by Step Solution

1. Step 1: Write the proportion equation
   571.50 : 756.56 = 756.56 : x
2. Step 2: Convert to fraction form
   571.50/756.56 = 756.56/x
3. Step 3: Cross multiply
   571.50x = 756.56 × 756.56
4. Step 4: Simplify right side
   571.50x = 572,386.82
5. Step 5: Solve for x
   x = 572,386.82/571.50
6. Step 6: Final answer
   x = 1,001.55