Finding the Third Proportional to 2,428.75 and 5,211.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428.75 : 5,211.38 = 5,211.38 : x
2. Step 2: Convert to fraction form
   2,428.75/5,211.38 = 5,211.38/x
3. Step 3: Cross multiply
   2,428.75x = 5,211.38 × 5,211.38
4. Step 4: Simplify right side
   2,428.75x = 27,158,429.39
5. Step 5: Solve for x
   x = 27,158,429.39/2,428.75
6. Step 6: Final answer
   x = 11,182.06