Finding the Third Proportional to 2,299 and 3,522.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,299 : 3,522.56 = 3,522.56 : x
2. Step 2: Convert to fraction form
   2,299/3,522.56 = 3,522.56/x
3. Step 3: Cross multiply
   2,299x = 3,522.56 × 3,522.56
4. Step 4: Simplify right side
   2,299x = 12,408,446.57
5. Step 5: Solve for x
   x = 12,408,446.57/2,299
6. Step 6: Final answer
   x = 5,397.32