Finding the Third Proportional to 3,874 and 7,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874 : 7,760.50 = 7,760.50 : x
2. Step 2: Convert to fraction form
   3,874/7,760.50 = 7,760.50/x
3. Step 3: Cross multiply
   3,874x = 7,760.50 × 7,760.50
4. Step 4: Simplify right side
   3,874x = 60,225,360.25
5. Step 5: Solve for x
   x = 60,225,360.25/3,874
6. Step 6: Final answer
   x = 15,546.04