Finding the Third Proportional to 561.94 and 756.56

Step by Step Solution

1. Step 1: Write the proportion equation
   561.94 : 756.56 = 756.56 : x
2. Step 2: Convert to fraction form
   561.94/756.56 = 756.56/x
3. Step 3: Cross multiply
   561.94x = 756.56 × 756.56
4. Step 4: Simplify right side
   561.94x = 572,386.82
5. Step 5: Solve for x
   x = 572,386.82/561.94
6. Step 6: Final answer
   x = 1,018.60