Finding the Third Proportional to 2,783 and 5,926

Step by Step Solution

1. Step 1: Write the proportion equation
   2,783 : 5,926 = 5,926 : x
2. Step 2: Convert to fraction form
   2,783/5,926 = 5,926/x
3. Step 3: Cross multiply
   2,783x = 5,926 × 5,926
4. Step 4: Simplify right side
   2,783x = 35,117,476
5. Step 5: Solve for x
   x = 35,117,476/2,783
6. Step 6: Final answer
   x = 12,618.57