Finding the Third Proportional to 8,181 and 10,965.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,181 : 10,965.38 = 10,965.38 : x
2. Step 2: Convert to fraction form
   8,181/10,965.38 = 10,965.38/x
3. Step 3: Cross multiply
   8,181x = 10,965.38 × 10,965.38
4. Step 4: Simplify right side
   8,181x = 120,239,448.89
5. Step 5: Solve for x
   x = 120,239,448.89/8,181
6. Step 6: Final answer
   x = 14,697.40