Finding the Third Proportional to 2,599.25 and 5,616.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.25 : 5,616.25 = 5,616.25 : x
2. Step 2: Convert to fraction form
   2,599.25/5,616.25 = 5,616.25/x
3. Step 3: Cross multiply
   2,599.25x = 5,616.25 × 5,616.25
4. Step 4: Simplify right side
   2,599.25x = 31,542,264.06
5. Step 5: Solve for x
   x = 31,542,264.06/2,599.25
6. Step 6: Final answer
   x = 12,135.14