Finding the Third Proportional to 2,576.25 and 5,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.25 : 5,564.25 = 5,564.25 : x
2. Step 2: Convert to fraction form
   2,576.25/5,564.25 = 5,564.25/x
3. Step 3: Cross multiply
   2,576.25x = 5,564.25 × 5,564.25
4. Step 4: Simplify right side
   2,576.25x = 30,960,878.06
5. Step 5: Solve for x
   x = 30,960,878.06/2,576.25
6. Step 6: Final answer
   x = 12,017.81