Finding the Third Proportional to 2,527.50 and 5,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.50 : 5,564.25 = 5,564.25 : x
2. Step 2: Convert to fraction form
   2,527.50/5,564.25 = 5,564.25/x
3. Step 3: Cross multiply
   2,527.50x = 5,564.25 × 5,564.25
4. Step 4: Simplify right side
   2,527.50x = 30,960,878.06
5. Step 5: Solve for x
   x = 30,960,878.06/2,527.50
6. Step 6: Final answer
   x = 12,249.61