Finding the Third Proportional to 6,819.75 and 9,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,819.75 : 9,256.50 = 9,256.50 : x
2. Step 2: Convert to fraction form
   6,819.75/9,256.50 = 9,256.50/x
3. Step 3: Cross multiply
   6,819.75x = 9,256.50 × 9,256.50
4. Step 4: Simplify right side
   6,819.75x = 85,682,792.25
5. Step 5: Solve for x
   x = 85,682,792.25/6,819.75
6. Step 6: Final answer
   x = 12,563.92