Finding the Third Proportional to 10,857.38 and 16,800.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,857.38 : 16,800.75 = 16,800.75 : x
2. Step 2: Convert to fraction form
   10,857.38/16,800.75 = 16,800.75/x
3. Step 3: Cross multiply
   10,857.38x = 16,800.75 × 16,800.75
4. Step 4: Simplify right side
   10,857.38x = 282,265,200.56
5. Step 5: Solve for x
   x = 282,265,200.56/10,857.38
6. Step 6: Final answer
   x = 25,997.55