Finding the Third Proportional to 2,426 and 5,777

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426 : 5,777 = 5,777 : x
2. Step 2: Convert to fraction form
   2,426/5,777 = 5,777/x
3. Step 3: Cross multiply
   2,426x = 5,777 × 5,777
4. Step 4: Simplify right side
   2,426x = 33,373,729
5. Step 5: Solve for x
   x = 33,373,729/2,426
6. Step 6: Final answer
   x = 13,756.69