Finding the Third Proportional to 2,411.44 and 5,266.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.44 : 5,266.69 = 5,266.69 : x
2. Step 2: Convert to fraction form
   2,411.44/5,266.69 = 5,266.69/x
3. Step 3: Cross multiply
   2,411.44x = 5,266.69 × 5,266.69
4. Step 4: Simplify right side
   2,411.44x = 27,737,997.22
5. Step 5: Solve for x
   x = 27,737,997.22/2,411.44
6. Step 6: Final answer
   x = 11,502.68