Finding the Third Proportional to 3,403.69 and 4,580.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,403.69 : 4,580.72 = 4,580.72 : x
2. Step 2: Convert to fraction form
   3,403.69/4,580.72 = 4,580.72/x
3. Step 3: Cross multiply
   3,403.69x = 4,580.72 × 4,580.72
4. Step 4: Simplify right side
   3,403.69x = 20,982,984.27
5. Step 5: Solve for x
   x = 20,982,984.27/3,403.69
6. Step 6: Final answer
   x = 6,164.78