Finding the Third Proportional to 2,794.50 and 5,187.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,794.50 : 5,187.38 = 5,187.38 : x
2. Step 2: Convert to fraction form
   2,794.50/5,187.38 = 5,187.38/x
3. Step 3: Cross multiply
   2,794.50x = 5,187.38 × 5,187.38
4. Step 4: Simplify right side
   2,794.50x = 26,908,859.39
5. Step 5: Solve for x
   x = 26,908,859.39/2,794.50
6. Step 6: Final answer
   x = 9,629.22