Finding the Third Proportional to 564.56 and 1,007.06

Step by Step Solution

1. Step 1: Write the proportion equation
   564.56 : 1,007.06 = 1,007.06 : x
2. Step 2: Convert to fraction form
   564.56/1,007.06 = 1,007.06/x
3. Step 3: Cross multiply
   564.56x = 1,007.06 × 1,007.06
4. Step 4: Simplify right side
   564.56x = 1,014,174.88
5. Step 5: Solve for x
   x = 1,014,174.88/564.56
6. Step 6: Final answer
   x = 1,796.39