Finding the Third Proportional to 2,461.54 and 5,401.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.54 : 5,401.44 = 5,401.44 : x
2. Step 2: Convert to fraction form
   2,461.54/5,401.44 = 5,401.44/x
3. Step 3: Cross multiply
   2,461.54x = 5,401.44 × 5,401.44
4. Step 4: Simplify right side
   2,461.54x = 29,175,569.27
5. Step 5: Solve for x
   x = 29,175,569.27/2,461.54
6. Step 6: Final answer
   x = 11,852.59