Finding the Third Proportional to 2,680 and 4,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680 : 4,171.50 = 4,171.50 : x
2. Step 2: Convert to fraction form
   2,680/4,171.50 = 4,171.50/x
3. Step 3: Cross multiply
   2,680x = 4,171.50 × 4,171.50
4. Step 4: Simplify right side
   2,680x = 17,401,412.25
5. Step 5: Solve for x
   x = 17,401,412.25/2,680
6. Step 6: Final answer
   x = 6,493.06