Finding the Third Proportional to 2,509.50 and 3,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.50 : 3,760.50 = 3,760.50 : x
2. Step 2: Convert to fraction form
   2,509.50/3,760.50 = 3,760.50/x
3. Step 3: Cross multiply
   2,509.50x = 3,760.50 × 3,760.50
4. Step 4: Simplify right side
   2,509.50x = 14,141,360.25
5. Step 5: Solve for x
   x = 14,141,360.25/2,509.50
6. Step 6: Final answer
   x = 5,635.13