Finding the Third Proportional to 2,216 and 5,225

Step by Step Solution

1. Step 1: Write the proportion equation
   2,216 : 5,225 = 5,225 : x
2. Step 2: Convert to fraction form
   2,216/5,225 = 5,225/x
3. Step 3: Cross multiply
   2,216x = 5,225 × 5,225
4. Step 4: Simplify right side
   2,216x = 27,300,625
5. Step 5: Solve for x
   x = 27,300,625/2,216
6. Step 6: Final answer
   x = 12,319.78