Finding the Third Proportional to 2,428.13 and 5,202.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428.13 : 5,202.56 = 5,202.56 : x
2. Step 2: Convert to fraction form
   2,428.13/5,202.56 = 5,202.56/x
3. Step 3: Cross multiply
   2,428.13x = 5,202.56 × 5,202.56
4. Step 4: Simplify right side
   2,428.13x = 27,066,656.57
5. Step 5: Solve for x
   x = 27,066,656.57/2,428.13
6. Step 6: Final answer
   x = 11,147.14