Finding the Third Proportional to 3,631.50 and 7,758.70

Step by Step Solution

1. Step 1: Write the proportion equation
   3,631.50 : 7,758.70 = 7,758.70 : x
2. Step 2: Convert to fraction form
   3,631.50/7,758.70 = 7,758.70/x
3. Step 3: Cross multiply
   3,631.50x = 7,758.70 × 7,758.70
4. Step 4: Simplify right side
   3,631.50x = 60,197,474.18
5. Step 5: Solve for x
   x = 60,197,474.18/3,631.50
6. Step 6: Final answer
   x = 16,576.48