Finding the Third Proportional to 5,105.25 and 8,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.25 : 8,266.50 = 8,266.50 : x
2. Step 2: Convert to fraction form
   5,105.25/8,266.50 = 8,266.50/x
3. Step 3: Cross multiply
   5,105.25x = 8,266.50 × 8,266.50
4. Step 4: Simplify right side
   5,105.25x = 68,335,022.25
5. Step 5: Solve for x
   x = 68,335,022.25/5,105.25
6. Step 6: Final answer
   x = 13,385.25