Finding the Third Proportional to 2,564.44 and 5,607.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.44 : 5,607.56 = 5,607.56 : x
2. Step 2: Convert to fraction form
   2,564.44/5,607.56 = 5,607.56/x
3. Step 3: Cross multiply
   2,564.44x = 5,607.56 × 5,607.56
4. Step 4: Simplify right side
   2,564.44x = 31,444,757.19
5. Step 5: Solve for x
   x = 31,444,757.19/2,564.44
6. Step 6: Final answer
   x = 12,261.85