Finding the Third Proportional to 2,511.38 and 5,469.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.38 : 5,469.56 = 5,469.56 : x
2. Step 2: Convert to fraction form
   2,511.38/5,469.56 = 5,469.56/x
3. Step 3: Cross multiply
   2,511.38x = 5,469.56 × 5,469.56
4. Step 4: Simplify right side
   2,511.38x = 29,916,113.94
5. Step 5: Solve for x
   x = 29,916,113.94/2,511.38
6. Step 6: Final answer
   x = 11,912.24