Finding the Third Proportional to 3,815.25 and 5,904.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,815.25 : 5,904.38 = 5,904.38 : x
2. Step 2: Convert to fraction form
   3,815.25/5,904.38 = 5,904.38/x
3. Step 3: Cross multiply
   3,815.25x = 5,904.38 × 5,904.38
4. Step 4: Simplify right side
   3,815.25x = 34,861,644.14
5. Step 5: Solve for x
   x = 34,861,644.14/3,815.25
6. Step 6: Final answer
   x = 9,137.45