Finding the Third Proportional to 6,364.50 and 8,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,364.50 : 8,648.25 = 8,648.25 : x
2. Step 2: Convert to fraction form
   6,364.50/8,648.25 = 8,648.25/x
3. Step 3: Cross multiply
   6,364.50x = 8,648.25 × 8,648.25
4. Step 4: Simplify right side
   6,364.50x = 74,792,228.06
5. Step 5: Solve for x
   x = 74,792,228.06/6,364.50
6. Step 6: Final answer
   x = 11,751.47