Finding the Third Proportional to 3,538.69 and 6,826.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 6,826.78 = 6,826.78 : x
2. Step 2: Convert to fraction form
   3,538.69/6,826.78 = 6,826.78/x
3. Step 3: Cross multiply
   3,538.69x = 6,826.78 × 6,826.78
4. Step 4: Simplify right side
   3,538.69x = 46,604,942.24
5. Step 5: Solve for x
   x = 46,604,942.24/3,538.69
6. Step 6: Final answer
   x = 13,170.12