Finding the Third Proportional to 8,231.63 and 12,765.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,231.63 : 12,765.38 = 12,765.38 : x
2. Step 2: Convert to fraction form
   8,231.63/12,765.38 = 12,765.38/x
3. Step 3: Cross multiply
   8,231.63x = 12,765.38 × 12,765.38
4. Step 4: Simplify right side
   8,231.63x = 162,954,798.89
5. Step 5: Solve for x
   x = 162,954,798.89/8,231.63
6. Step 6: Final answer
   x = 19,796.19