Finding the Third Proportional to 2,738 and 5,737

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738 : 5,737 = 5,737 : x
2. Step 2: Convert to fraction form
   2,738/5,737 = 5,737/x
3. Step 3: Cross multiply
   2,738x = 5,737 × 5,737
4. Step 4: Simplify right side
   2,738x = 32,913,169
5. Step 5: Solve for x
   x = 32,913,169/2,738
6. Step 6: Final answer
   x = 12,020.88