Finding the Third Proportional to 3,666 and 7,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,666 : 7,615.50 = 7,615.50 : x
2. Step 2: Convert to fraction form
   3,666/7,615.50 = 7,615.50/x
3. Step 3: Cross multiply
   3,666x = 7,615.50 × 7,615.50
4. Step 4: Simplify right side
   3,666x = 57,995,840.25
5. Step 5: Solve for x
   x = 57,995,840.25/3,666
6. Step 6: Final answer
   x = 15,819.92