Finding the Third Proportional to 564 and 1,076.25

Step by Step Solution

1. Step 1: Write the proportion equation
   564 : 1,076.25 = 1,076.25 : x
2. Step 2: Convert to fraction form
   564/1,076.25 = 1,076.25/x
3. Step 3: Cross multiply
   564x = 1,076.25 × 1,076.25
4. Step 4: Simplify right side
   564x = 1,158,314.06
5. Step 5: Solve for x
   x = 1,158,314.06/564
6. Step 6: Final answer
   x = 2,053.75