Finding the Third Proportional to 5,406.75 and 8,363.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,406.75 : 8,363.25 = 8,363.25 : x
2. Step 2: Convert to fraction form
   5,406.75/8,363.25 = 8,363.25/x
3. Step 3: Cross multiply
   5,406.75x = 8,363.25 × 8,363.25
4. Step 4: Simplify right side
   5,406.75x = 69,943,950.56
5. Step 5: Solve for x
   x = 69,943,950.56/5,406.75
6. Step 6: Final answer
   x = 12,936.41