Finding the Third Proportional to 2,459 and 5,738

Step by Step Solution

1. Step 1: Write the proportion equation
   2,459 : 5,738 = 5,738 : x
2. Step 2: Convert to fraction form
   2,459/5,738 = 5,738/x
3. Step 3: Cross multiply
   2,459x = 5,738 × 5,738
4. Step 4: Simplify right side
   2,459x = 32,924,644
5. Step 5: Solve for x
   x = 32,924,644/2,459
6. Step 6: Final answer
   x = 13,389.44