Finding the Third Proportional to 2,458.50 and 5,410.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.50 : 5,410.88 = 5,410.88 : x
2. Step 2: Convert to fraction form
   2,458.50/5,410.88 = 5,410.88/x
3. Step 3: Cross multiply
   2,458.50x = 5,410.88 × 5,410.88
4. Step 4: Simplify right side
   2,458.50x = 29,277,568.27
5. Step 5: Solve for x
   x = 29,277,568.27/2,458.50
6. Step 6: Final answer
   x = 11,908.71