Finding the Third Proportional to 6,333.75 and 8,255.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.75 : 8,255.25 = 8,255.25 : x
2. Step 2: Convert to fraction form
   6,333.75/8,255.25 = 8,255.25/x
3. Step 3: Cross multiply
   6,333.75x = 8,255.25 × 8,255.25
4. Step 4: Simplify right side
   6,333.75x = 68,149,152.56
5. Step 5: Solve for x
   x = 68,149,152.56/6,333.75
6. Step 6: Final answer
   x = 10,759.68