Finding the Third Proportional to 3,100.78 and 6,805.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,100.78 : 6,805.27 = 6,805.27 : x
2. Step 2: Convert to fraction form
   3,100.78/6,805.27 = 6,805.27/x
3. Step 3: Cross multiply
   3,100.78x = 6,805.27 × 6,805.27
4. Step 4: Simplify right side
   3,100.78x = 46,311,640.23
5. Step 5: Solve for x
   x = 46,311,640.23/3,100.78
6. Step 6: Final answer
   x = 14,935.47