Finding the Third Proportional to 2,784 and 5,942

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 5,942 = 5,942 : x
2. Step 2: Convert to fraction form
   2,784/5,942 = 5,942/x
3. Step 3: Cross multiply
   2,784x = 5,942 × 5,942
4. Step 4: Simplify right side
   2,784x = 35,307,364
5. Step 5: Solve for x
   x = 35,307,364/2,784
6. Step 6: Final answer
   x = 12,682.24