Finding the Third Proportional to 3,818.25 and 5,691.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,818.25 : 5,691.38 = 5,691.38 : x
2. Step 2: Convert to fraction form
   3,818.25/5,691.38 = 5,691.38/x
3. Step 3: Cross multiply
   3,818.25x = 5,691.38 × 5,691.38
4. Step 4: Simplify right side
   3,818.25x = 32,391,749.39
5. Step 5: Solve for x
   x = 32,391,749.39/3,818.25
6. Step 6: Final answer
   x = 8,483.40