Finding the Third Proportional to 2,356.59 and 5,014.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,356.59 : 5,014.41 = 5,014.41 : x
2. Step 2: Convert to fraction form
   2,356.59/5,014.41 = 5,014.41/x
3. Step 3: Cross multiply
   2,356.59x = 5,014.41 × 5,014.41
4. Step 4: Simplify right side
   2,356.59x = 25,144,270.04
5. Step 5: Solve for x
   x = 25,144,270.04/2,356.59
6. Step 6: Final answer
   x = 10,669.75