Finding the Third Proportional to 3,676.50 and 5,235.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.50 : 5,235.75 = 5,235.75 : x
2. Step 2: Convert to fraction form
   3,676.50/5,235.75 = 5,235.75/x
3. Step 3: Cross multiply
   3,676.50x = 5,235.75 × 5,235.75
4. Step 4: Simplify right side
   3,676.50x = 27,413,078.06
5. Step 5: Solve for x
   x = 27,413,078.06/3,676.50
6. Step 6: Final answer
   x = 7,456.30