Finding the Third Proportional to 2,427.38 and 5,172.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.38 : 5,172.63 = 5,172.63 : x
2. Step 2: Convert to fraction form
   2,427.38/5,172.63 = 5,172.63/x
3. Step 3: Cross multiply
   2,427.38x = 5,172.63 × 5,172.63
4. Step 4: Simplify right side
   2,427.38x = 26,756,049.39
5. Step 5: Solve for x
   x = 26,756,049.39/2,427.38
6. Step 6: Final answer
   x = 11,022.63