Finding the Third Proportional to 3,661.45 and 7,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,661.45 : 7,582.50 = 7,582.50 : x
2. Step 2: Convert to fraction form
   3,661.45/7,582.50 = 7,582.50/x
3. Step 3: Cross multiply
   3,661.45x = 7,582.50 × 7,582.50
4. Step 4: Simplify right side
   3,661.45x = 57,494,306.25
5. Step 5: Solve for x
   x = 57,494,306.25/3,661.45
6. Step 6: Final answer
   x = 15,702.59