Finding the Third Proportional to 3,862.69 and 7,338.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,862.69 : 7,338.09 = 7,338.09 : x
2. Step 2: Convert to fraction form
   3,862.69/7,338.09 = 7,338.09/x
3. Step 3: Cross multiply
   3,862.69x = 7,338.09 × 7,338.09
4. Step 4: Simplify right side
   3,862.69x = 53,847,619.88
5. Step 5: Solve for x
   x = 53,847,619.88/3,862.69
6. Step 6: Final answer
   x = 13,940.45