Finding the Third Proportional to 3,807 and 5,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,807 : 5,578.88 = 5,578.88 : x
2. Step 2: Convert to fraction form
   3,807/5,578.88 = 5,578.88/x
3. Step 3: Cross multiply
   3,807x = 5,578.88 × 5,578.88
4. Step 4: Simplify right side
   3,807x = 31,123,846.27
5. Step 5: Solve for x
   x = 31,123,846.27/3,807
6. Step 6: Final answer
   x = 8,175.43