Finding the Third Proportional to 2,509.50 and 5,466.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.50 : 5,466.25 = 5,466.25 : x
2. Step 2: Convert to fraction form
   2,509.50/5,466.25 = 5,466.25/x
3. Step 3: Cross multiply
   2,509.50x = 5,466.25 × 5,466.25
4. Step 4: Simplify right side
   2,509.50x = 29,879,889.06
5. Step 5: Solve for x
   x = 29,879,889.06/2,509.50
6. Step 6: Final answer
   x = 11,906.71