Finding the Third Proportional to 2,365 and 5,139.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365 : 5,139.38 = 5,139.38 : x
2. Step 2: Convert to fraction form
   2,365/5,139.38 = 5,139.38/x
3. Step 3: Cross multiply
   2,365x = 5,139.38 × 5,139.38
4. Step 4: Simplify right side
   2,365x = 26,413,175.39
5. Step 5: Solve for x
   x = 26,413,175.39/2,365
6. Step 6: Final answer
   x = 11,168.36