Finding the Third Proportional to 3,835.78 and 8,403.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835.78 : 8,403.47 = 8,403.47 : x
2. Step 2: Convert to fraction form
   3,835.78/8,403.47 = 8,403.47/x
3. Step 3: Cross multiply
   3,835.78x = 8,403.47 × 8,403.47
4. Step 4: Simplify right side
   3,835.78x = 70,618,287.03
5. Step 5: Solve for x
   x = 70,618,287.03/3,835.78
6. Step 6: Final answer
   x = 18,410.41