Finding the Third Proportional to 2,260 and 3,680

Step by Step Solution

1. Step 1: Write the proportion equation
   2,260 : 3,680 = 3,680 : x
2. Step 2: Convert to fraction form
   2,260/3,680 = 3,680/x
3. Step 3: Cross multiply
   2,260x = 3,680 × 3,680
4. Step 4: Simplify right side
   2,260x = 13,542,400
5. Step 5: Solve for x
   x = 13,542,400/2,260
6. Step 6: Final answer
   x = 5,992.21