Finding the Third Proportional to 2,389.50 and 5,266.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,389.50 : 5,266.13 = 5,266.13 : x
2. Step 2: Convert to fraction form
   2,389.50/5,266.13 = 5,266.13/x
3. Step 3: Cross multiply
   2,389.50x = 5,266.13 × 5,266.13
4. Step 4: Simplify right side
   2,389.50x = 27,732,072.52
5. Step 5: Solve for x
   x = 27,732,072.52/2,389.50
6. Step 6: Final answer
   x = 11,605.81