Finding the Third Proportional to 8,255.25 and 17,856.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,255.25 : 17,856.38 = 17,856.38 : x
2. Step 2: Convert to fraction form
   8,255.25/17,856.38 = 17,856.38/x
3. Step 3: Cross multiply
   8,255.25x = 17,856.38 × 17,856.38
4. Step 4: Simplify right side
   8,255.25x = 318,850,128.14
5. Step 5: Solve for x
   x = 318,850,128.14/8,255.25
6. Step 6: Final answer
   x = 38,623.92