Finding the Third Proportional to 2,510 and 3,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510 : 3,908.50 = 3,908.50 : x
2. Step 2: Convert to fraction form
   2,510/3,908.50 = 3,908.50/x
3. Step 3: Cross multiply
   2,510x = 3,908.50 × 3,908.50
4. Step 4: Simplify right side
   2,510x = 15,276,372.25
5. Step 5: Solve for x
   x = 15,276,372.25/2,510
6. Step 6: Final answer
   x = 6,086.20