Finding the Third Proportional to 2,244 and 3,212.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,244 : 3,212.25 = 3,212.25 : x
2. Step 2: Convert to fraction form
   2,244/3,212.25 = 3,212.25/x
3. Step 3: Cross multiply
   2,244x = 3,212.25 × 3,212.25
4. Step 4: Simplify right side
   2,244x = 10,318,550.06
5. Step 5: Solve for x
   x = 10,318,550.06/2,244
6. Step 6: Final answer
   x = 4,598.28