Finding the Third Proportional to 2,540.81 and 5,511.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.81 : 5,511.38 = 5,511.38 : x
2. Step 2: Convert to fraction form
   2,540.81/5,511.38 = 5,511.38/x
3. Step 3: Cross multiply
   2,540.81x = 5,511.38 × 5,511.38
4. Step 4: Simplify right side
   2,540.81x = 30,375,254.39
5. Step 5: Solve for x
   x = 30,375,254.39/2,540.81
6. Step 6: Final answer
   x = 11,954.94