Finding the Third Proportional to 2,553.25 and 5,214.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.25 : 5,214.25 = 5,214.25 : x
2. Step 2: Convert to fraction form
   2,553.25/5,214.25 = 5,214.25/x
3. Step 3: Cross multiply
   2,553.25x = 5,214.25 × 5,214.25
4. Step 4: Simplify right side
   2,553.25x = 27,188,403.06
5. Step 5: Solve for x
   x = 27,188,403.06/2,553.25
6. Step 6: Final answer
   x = 10,648.55