Finding the Third Proportional to 2,827.13 and 5,016.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.13 : 5,016.38 = 5,016.38 : x
2. Step 2: Convert to fraction form
   2,827.13/5,016.38 = 5,016.38/x
3. Step 3: Cross multiply
   2,827.13x = 5,016.38 × 5,016.38
4. Step 4: Simplify right side
   2,827.13x = 25,164,018.14
5. Step 5: Solve for x
   x = 25,164,018.14/2,827.13
6. Step 6: Final answer
   x = 8,900.92