Finding the Third Proportional to 2,311 and 5,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,311 : 5,046.50 = 5,046.50 : x
2. Step 2: Convert to fraction form
   2,311/5,046.50 = 5,046.50/x
3. Step 3: Cross multiply
   2,311x = 5,046.50 × 5,046.50
4. Step 4: Simplify right side
   2,311x = 25,467,162.25
5. Step 5: Solve for x
   x = 25,467,162.25/2,311
6. Step 6: Final answer
   x = 11,019.98