Finding the Third Proportional to 3,880.13 and 5,608.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,880.13 : 5,608.69 = 5,608.69 : x
2. Step 2: Convert to fraction form
   3,880.13/5,608.69 = 5,608.69/x
3. Step 3: Cross multiply
   3,880.13x = 5,608.69 × 5,608.69
4. Step 4: Simplify right side
   3,880.13x = 31,457,375.47
5. Step 5: Solve for x
   x = 31,457,375.47/3,880.13
6. Step 6: Final answer
   x = 8,107.31