Finding the Third Proportional to 3,403.69 and 5,977.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,403.69 : 5,977.13 = 5,977.13 : x
2. Step 2: Convert to fraction form
   3,403.69/5,977.13 = 5,977.13/x
3. Step 3: Cross multiply
   3,403.69x = 5,977.13 × 5,977.13
4. Step 4: Simplify right side
   3,403.69x = 35,726,023.27
5. Step 5: Solve for x
   x = 35,726,023.27/3,403.69
6. Step 6: Final answer
   x = 10,496.27