Finding the Third Proportional to 2,458.88 and 3,899.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.88 : 3,899.48 = 3,899.48 : x
2. Step 2: Convert to fraction form
   2,458.88/3,899.48 = 3,899.48/x
3. Step 3: Cross multiply
   2,458.88x = 3,899.48 × 3,899.48
4. Step 4: Simplify right side
   2,458.88x = 15,205,978.39
5. Step 5: Solve for x
   x = 15,205,978.39/2,458.88
6. Step 6: Final answer
   x = 6,184.12