Finding the Third Proportional to 2,431.41 and 5,328.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.41 : 5,328.56 = 5,328.56 : x
2. Step 2: Convert to fraction form
   2,431.41/5,328.56 = 5,328.56/x
3. Step 3: Cross multiply
   2,431.41x = 5,328.56 × 5,328.56
4. Step 4: Simplify right side
   2,431.41x = 28,393,578.32
5. Step 5: Solve for x
   x = 28,393,578.32/2,431.41
6. Step 6: Final answer
   x = 11,677.84