Finding the Third Proportional to 2,680 and 4,494

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680 : 4,494 = 4,494 : x
2. Step 2: Convert to fraction form
   2,680/4,494 = 4,494/x
3. Step 3: Cross multiply
   2,680x = 4,494 × 4,494
4. Step 4: Simplify right side
   2,680x = 20,196,036
5. Step 5: Solve for x
   x = 20,196,036/2,680
6. Step 6: Final answer
   x = 7,535.83