Finding the Third Proportional to 2,661.75 and 5,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.75 : 5,627.25 = 5,627.25 : x
2. Step 2: Convert to fraction form
   2,661.75/5,627.25 = 5,627.25/x
3. Step 3: Cross multiply
   2,661.75x = 5,627.25 × 5,627.25
4. Step 4: Simplify right side
   2,661.75x = 31,665,942.56
5. Step 5: Solve for x
   x = 31,665,942.56/2,661.75
6. Step 6: Final answer
   x = 11,896.66