Finding the Third Proportional to 2,427.25 and 5,172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.25 : 5,172.25 = 5,172.25 : x
2. Step 2: Convert to fraction form
   2,427.25/5,172.25 = 5,172.25/x
3. Step 3: Cross multiply
   2,427.25x = 5,172.25 × 5,172.25
4. Step 4: Simplify right side
   2,427.25x = 26,752,170.06
5. Step 5: Solve for x
   x = 26,752,170.06/2,427.25
6. Step 6: Final answer
   x = 11,021.60