Finding the Third Proportional to 3,805.38 and 5,906.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,805.38 : 5,906.81 = 5,906.81 : x
2. Step 2: Convert to fraction form
   3,805.38/5,906.81 = 5,906.81/x
3. Step 3: Cross multiply
   3,805.38x = 5,906.81 × 5,906.81
4. Step 4: Simplify right side
   3,805.38x = 34,890,433.91
5. Step 5: Solve for x
   x = 34,890,433.91/3,805.38
6. Step 6: Final answer
   x = 9,168.71