Finding the Third Proportional to 2,428.73 and 5,202.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428.73 : 5,202.98 = 5,202.98 : x
2. Step 2: Convert to fraction form
   2,428.73/5,202.98 = 5,202.98/x
3. Step 3: Cross multiply
   2,428.73x = 5,202.98 × 5,202.98
4. Step 4: Simplify right side
   2,428.73x = 27,071,046.41
5. Step 5: Solve for x
   x = 27,071,046.41/2,428.73
6. Step 6: Final answer
   x = 11,146.15