Finding the Third Proportional to 3,845.25 and 5,498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,845.25 : 5,498.69 = 5,498.69 : x
2. Step 2: Convert to fraction form
   3,845.25/5,498.69 = 5,498.69/x
3. Step 3: Cross multiply
   3,845.25x = 5,498.69 × 5,498.69
4. Step 4: Simplify right side
   3,845.25x = 30,235,564.22
5. Step 5: Solve for x
   x = 30,235,564.22/3,845.25
6. Step 6: Final answer
   x = 7,863.09