Finding the Third Proportional to 564.94 and 1,225.31

Step by Step Solution

1. Step 1: Write the proportion equation
   564.94 : 1,225.31 = 1,225.31 : x
2. Step 2: Convert to fraction form
   564.94/1,225.31 = 1,225.31/x
3. Step 3: Cross multiply
   564.94x = 1,225.31 × 1,225.31
4. Step 4: Simplify right side
   564.94x = 1,501,390.72
5. Step 5: Solve for x
   x = 1,501,390.72/564.94
6. Step 6: Final answer
   x = 2,657.62