Finding the Third Proportional to 10,936.69 and 16,401.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,936.69 : 16,401.38 = 16,401.38 : x
2. Step 2: Convert to fraction form
   10,936.69/16,401.38 = 16,401.38/x
3. Step 3: Cross multiply
   10,936.69x = 16,401.38 × 16,401.38
4. Step 4: Simplify right side
   10,936.69x = 269,005,101.89
5. Step 5: Solve for x
   x = 269,005,101.89/10,936.69
6. Step 6: Final answer
   x = 24,596.58