Finding the Third Proportional to 3,538.69 and 4,017.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 4,017.09 = 4,017.09 : x
2. Step 2: Convert to fraction form
   3,538.69/4,017.09 = 4,017.09/x
3. Step 3: Cross multiply
   3,538.69x = 4,017.09 × 4,017.09
4. Step 4: Simplify right side
   3,538.69x = 16,137,042.20
5. Step 5: Solve for x
   x = 16,137,042.20/3,538.69
6. Step 6: Final answer
   x = 4,560.18