Finding the Third Proportional to 8,165.25 and 10,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,165.25 : 10,856.25 = 10,856.25 : x
2. Step 2: Convert to fraction form
   8,165.25/10,856.25 = 10,856.25/x
3. Step 3: Cross multiply
   8,165.25x = 10,856.25 × 10,856.25
4. Step 4: Simplify right side
   8,165.25x = 117,858,164.06
5. Step 5: Solve for x
   x = 117,858,164.06/8,165.25
6. Step 6: Final answer
   x = 14,434.12