Finding the Third Proportional to 2,196 and 3,530

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196 : 3,530 = 3,530 : x
2. Step 2: Convert to fraction form
   2,196/3,530 = 3,530/x
3. Step 3: Cross multiply
   2,196x = 3,530 × 3,530
4. Step 4: Simplify right side
   2,196x = 12,460,900
5. Step 5: Solve for x
   x = 12,460,900/2,196
6. Step 6: Final answer
   x = 5,674.36