Finding the Third Proportional to 2,511 and 5,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511 : 5,369.25 = 5,369.25 : x
2. Step 2: Convert to fraction form
   2,511/5,369.25 = 5,369.25/x
3. Step 3: Cross multiply
   2,511x = 5,369.25 × 5,369.25
4. Step 4: Simplify right side
   2,511x = 28,828,845.56
5. Step 5: Solve for x
   x = 28,828,845.56/2,511
6. Step 6: Final answer
   x = 11,481.02