Finding the Third Proportional to 564 and 1,150.88

Step by Step Solution

1. Step 1: Write the proportion equation
   564 : 1,150.88 = 1,150.88 : x
2. Step 2: Convert to fraction form
   564/1,150.88 = 1,150.88/x
3. Step 3: Cross multiply
   564x = 1,150.88 × 1,150.88
4. Step 4: Simplify right side
   564x = 1,324,513.27
5. Step 5: Solve for x
   x = 1,324,513.27/564
6. Step 6: Final answer
   x = 2,348.43