Finding the Third Proportional to 2,003.91 and 4,396.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.91 : 4,396.78 = 4,396.78 : x
2. Step 2: Convert to fraction form
   2,003.91/4,396.78 = 4,396.78/x
3. Step 3: Cross multiply
   2,003.91x = 4,396.78 × 4,396.78
4. Step 4: Simplify right side
   2,003.91x = 19,331,685.36
5. Step 5: Solve for x
   x = 19,331,685.36/2,003.91
6. Step 6: Final answer
   x = 9,647.00