Finding the Third Proportional to 3,133.69 and 6,406.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,133.69 : 6,406.59 = 6,406.59 : x
2. Step 2: Convert to fraction form
   3,133.69/6,406.59 = 6,406.59/x
3. Step 3: Cross multiply
   3,133.69x = 6,406.59 × 6,406.59
4. Step 4: Simplify right side
   3,133.69x = 41,044,443.48
5. Step 5: Solve for x
   x = 41,044,443.48/3,133.69
6. Step 6: Final answer
   x = 13,097.81