Finding the Third Proportional to 2,358.63 and 5,127.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,358.63 : 5,127.38 = 5,127.38 : x
2. Step 2: Convert to fraction form
   2,358.63/5,127.38 = 5,127.38/x
3. Step 3: Cross multiply
   2,358.63x = 5,127.38 × 5,127.38
4. Step 4: Simplify right side
   2,358.63x = 26,289,974.39
5. Step 5: Solve for x
   x = 26,289,974.39/2,358.63
6. Step 6: Final answer
   x = 11,146.31