Finding the Third Proportional to 2,621.25 and 5,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,621.25 : 5,726.25 = 5,726.25 : x
2. Step 2: Convert to fraction form
   2,621.25/5,726.25 = 5,726.25/x
3. Step 3: Cross multiply
   2,621.25x = 5,726.25 × 5,726.25
4. Step 4: Simplify right side
   2,621.25x = 32,789,939.06
5. Step 5: Solve for x
   x = 32,789,939.06/2,621.25
6. Step 6: Final answer
   x = 12,509.28