Finding the Third Proportional to 564 and 900.56

Step by Step Solution

1. Step 1: Write the proportion equation
   564 : 900.56 = 900.56 : x
2. Step 2: Convert to fraction form
   564/900.56 = 900.56/x
3. Step 3: Cross multiply
   564x = 900.56 × 900.56
4. Step 4: Simplify right side
   564x = 811,012.82
5. Step 5: Solve for x
   x = 811,012.82/564
6. Step 6: Final answer
   x = 1,437.97