Finding the Third Proportional to 10,540.13 and 16,797.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.13 : 16,797.38 = 16,797.38 : x
2. Step 2: Convert to fraction form
   10,540.13/16,797.38 = 16,797.38/x
3. Step 3: Cross multiply
   10,540.13x = 16,797.38 × 16,797.38
4. Step 4: Simplify right side
   10,540.13x = 282,151,806.89
5. Step 5: Solve for x
   x = 282,151,806.89/10,540.13
6. Step 6: Final answer
   x = 26,769.30