Finding the Third Proportional to 5,363.94 and 8,305.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,363.94 : 8,305.38 = 8,305.38 : x
2. Step 2: Convert to fraction form
   5,363.94/8,305.38 = 8,305.38/x
3. Step 3: Cross multiply
   5,363.94x = 8,305.38 × 8,305.38
4. Step 4: Simplify right side
   5,363.94x = 68,979,253.89
5. Step 5: Solve for x
   x = 68,979,253.89/5,363.94
6. Step 6: Final answer
   x = 12,859.82