Finding the Third Proportional to 2,353.69 and 3,530.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.69 : 3,530.81 = 3,530.81 : x
2. Step 2: Convert to fraction form
   2,353.69/3,530.81 = 3,530.81/x
3. Step 3: Cross multiply
   2,353.69x = 3,530.81 × 3,530.81
4. Step 4: Simplify right side
   2,353.69x = 12,466,636.91
5. Step 5: Solve for x
   x = 12,466,636.91/2,353.69
6. Step 6: Final answer
   x = 5,296.64