Finding the Third Proportional to 2,458.69 and 5,350.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.69 : 5,350.22 = 5,350.22 : x
2. Step 2: Convert to fraction form
   2,458.69/5,350.22 = 5,350.22/x
3. Step 3: Cross multiply
   2,458.69x = 5,350.22 × 5,350.22
4. Step 4: Simplify right side
   2,458.69x = 28,624,840.67
5. Step 5: Solve for x
   x = 28,624,840.67/2,458.69
6. Step 6: Final answer
   x = 11,642.33