Finding the Third Proportional to 564.47 and 1,158.05

Step by Step Solution

1. Step 1: Write the proportion equation
   564.47 : 1,158.05 = 1,158.05 : x
2. Step 2: Convert to fraction form
   564.47/1,158.05 = 1,158.05/x
3. Step 3: Cross multiply
   564.47x = 1,158.05 × 1,158.05
4. Step 4: Simplify right side
   564.47x = 1,341,072.56
5. Step 5: Solve for x
   x = 1,341,072.56/564.47
6. Step 6: Final answer
   x = 2,375.81