Finding the Third Proportional to 3,836.25 and 5,835.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.25 : 5,835.38 = 5,835.38 : x
2. Step 2: Convert to fraction form
   3,836.25/5,835.38 = 5,835.38/x
3. Step 3: Cross multiply
   3,836.25x = 5,835.38 × 5,835.38
4. Step 4: Simplify right side
   3,836.25x = 34,051,601.39
5. Step 5: Solve for x
   x = 34,051,601.39/3,836.25
6. Step 6: Final answer
   x = 8,876.27