Finding the Third Proportional to 3,634 and 7,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,634 : 7,704.50 = 7,704.50 : x
2. Step 2: Convert to fraction form
   3,634/7,704.50 = 7,704.50/x
3. Step 3: Cross multiply
   3,634x = 7,704.50 × 7,704.50
4. Step 4: Simplify right side
   3,634x = 59,359,320.25
5. Step 5: Solve for x
   x = 59,359,320.25/3,634
6. Step 6: Final answer
   x = 16,334.43