Finding the Third Proportional to 2,511.56 and 5,411.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.56 : 5,411.25 = 5,411.25 : x
2. Step 2: Convert to fraction form
   2,511.56/5,411.25 = 5,411.25/x
3. Step 3: Cross multiply
   2,511.56x = 5,411.25 × 5,411.25
4. Step 4: Simplify right side
   2,511.56x = 29,281,626.56
5. Step 5: Solve for x
   x = 29,281,626.56/2,511.56
6. Step 6: Final answer
   x = 11,658.73