Finding the Third Proportional to 2,680 and 5,633

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680 : 5,633 = 5,633 : x
2. Step 2: Convert to fraction form
   2,680/5,633 = 5,633/x
3. Step 3: Cross multiply
   2,680x = 5,633 × 5,633
4. Step 4: Simplify right side
   2,680x = 31,730,689
5. Step 5: Solve for x
   x = 31,730,689/2,680
6. Step 6: Final answer
   x = 11,839.81