Finding the Third Proportional to 2,800.13 and 3,880.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,800.13 : 3,880.69 = 3,880.69 : x
2. Step 2: Convert to fraction form
   2,800.13/3,880.69 = 3,880.69/x
3. Step 3: Cross multiply
   2,800.13x = 3,880.69 × 3,880.69
4. Step 4: Simplify right side
   2,800.13x = 15,059,735.47
5. Step 5: Solve for x
   x = 15,059,735.47/2,800.13
6. Step 6: Final answer
   x = 5,378.24