Finding the Third Proportional to 3,673.50 and 5,348.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,673.50 : 5,348.25 = 5,348.25 : x
2. Step 2: Convert to fraction form
   3,673.50/5,348.25 = 5,348.25/x
3. Step 3: Cross multiply
   3,673.50x = 5,348.25 × 5,348.25
4. Step 4: Simplify right side
   3,673.50x = 28,603,778.06
5. Step 5: Solve for x
   x = 28,603,778.06/3,673.50
6. Step 6: Final answer
   x = 7,786.52