Finding the Third Proportional to 3,642.47 and 7,231.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.47 : 7,231.78 = 7,231.78 : x
2. Step 2: Convert to fraction form
   3,642.47/7,231.78 = 7,231.78/x
3. Step 3: Cross multiply
   3,642.47x = 7,231.78 × 7,231.78
4. Step 4: Simplify right side
   3,642.47x = 52,298,660.05
5. Step 5: Solve for x
   x = 52,298,660.05/3,642.47
6. Step 6: Final answer
   x = 14,358.03