Finding the Third Proportional to 3,836.50 and 5,924.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.50 : 5,924.38 = 5,924.38 : x
2. Step 2: Convert to fraction form
   3,836.50/5,924.38 = 5,924.38/x
3. Step 3: Cross multiply
   3,836.50x = 5,924.38 × 5,924.38
4. Step 4: Simplify right side
   3,836.50x = 35,098,219.14
5. Step 5: Solve for x
   x = 35,098,219.14/3,836.50
6. Step 6: Final answer
   x = 9,148.50