Finding the Third Proportional to 2,457.75 and 5,409.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.75 : 5,409.38 = 5,409.38 : x
2. Step 2: Convert to fraction form
   2,457.75/5,409.38 = 5,409.38/x
3. Step 3: Cross multiply
   2,457.75x = 5,409.38 × 5,409.38
4. Step 4: Simplify right side
   2,457.75x = 29,261,337.89
5. Step 5: Solve for x
   x = 29,261,337.89/2,457.75
6. Step 6: Final answer
   x = 11,905.74