Finding the Third Proportional to 3,582.50 and 7,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,582.50 : 7,265.50 = 7,265.50 : x
2. Step 2: Convert to fraction form
   3,582.50/7,265.50 = 7,265.50/x
3. Step 3: Cross multiply
   3,582.50x = 7,265.50 × 7,265.50
4. Step 4: Simplify right side
   3,582.50x = 52,787,490.25
5. Step 5: Solve for x
   x = 52,787,490.25/3,582.50
6. Step 6: Final answer
   x = 14,734.82