Finding the Third Proportional to 2,458.69 and 4,282.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.69 : 4,282.88 = 4,282.88 : x
2. Step 2: Convert to fraction form
   2,458.69/4,282.88 = 4,282.88/x
3. Step 3: Cross multiply
   2,458.69x = 4,282.88 × 4,282.88
4. Step 4: Simplify right side
   2,458.69x = 18,343,018.27
5. Step 5: Solve for x
   x = 18,343,018.27/2,458.69
6. Step 6: Final answer
   x = 7,460.49