Finding the Third Proportional to 2,781 and 5,946

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781 : 5,946 = 5,946 : x
2. Step 2: Convert to fraction form
   2,781/5,946 = 5,946/x
3. Step 3: Cross multiply
   2,781x = 5,946 × 5,946
4. Step 4: Simplify right side
   2,781x = 35,354,916
5. Step 5: Solve for x
   x = 35,354,916/2,781
6. Step 6: Final answer
   x = 12,713.02