Finding the Third Proportional to 2,389.78 and 5,241.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,389.78 : 5,241.23 = 5,241.23 : x
2. Step 2: Convert to fraction form
   2,389.78/5,241.23 = 5,241.23/x
3. Step 3: Cross multiply
   2,389.78x = 5,241.23 × 5,241.23
4. Step 4: Simplify right side
   2,389.78x = 27,470,537.77
5. Step 5: Solve for x
   x = 27,470,537.77/2,389.78
6. Step 6: Final answer
   x = 11,495.00