Finding the Third Proportional to 2,709 and 3,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709 : 3,631.50 = 3,631.50 : x
2. Step 2: Convert to fraction form
   2,709/3,631.50 = 3,631.50/x
3. Step 3: Cross multiply
   2,709x = 3,631.50 × 3,631.50
4. Step 4: Simplify right side
   2,709x = 13,187,792.25
5. Step 5: Solve for x
   x = 13,187,792.25/2,709
6. Step 6: Final answer
   x = 4,868.14