Finding the Third Proportional to 2,782 and 5,840

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782 : 5,840 = 5,840 : x
2. Step 2: Convert to fraction form
   2,782/5,840 = 5,840/x
3. Step 3: Cross multiply
   2,782x = 5,840 × 5,840
4. Step 4: Simplify right side
   2,782x = 34,105,600
5. Step 5: Solve for x
   x = 34,105,600/2,782
6. Step 6: Final answer
   x = 12,259.38