Finding the Third Proportional to 2,405 and 5,250.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405 : 5,250.88 = 5,250.88 : x
2. Step 2: Convert to fraction form
   2,405/5,250.88 = 5,250.88/x
3. Step 3: Cross multiply
   2,405x = 5,250.88 × 5,250.88
4. Step 4: Simplify right side
   2,405x = 27,571,688.27
5. Step 5: Solve for x
   x = 27,571,688.27/2,405
6. Step 6: Final answer
   x = 11,464.32