Finding the Third Proportional to 3,662.25 and 5,826.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,662.25 : 5,826.38 = 5,826.38 : x
2. Step 2: Convert to fraction form
   3,662.25/5,826.38 = 5,826.38/x
3. Step 3: Cross multiply
   3,662.25x = 5,826.38 × 5,826.38
4. Step 4: Simplify right side
   3,662.25x = 33,946,645.64
5. Step 5: Solve for x
   x = 33,946,645.64/3,662.25
6. Step 6: Final answer
   x = 9,269.34