Finding the Third Proportional to 2,559 and 3,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559 : 3,838.50 = 3,838.50 : x
2. Step 2: Convert to fraction form
   2,559/3,838.50 = 3,838.50/x
3. Step 3: Cross multiply
   2,559x = 3,838.50 × 3,838.50
4. Step 4: Simplify right side
   2,559x = 14,734,082.25
5. Step 5: Solve for x
   x = 14,734,082.25/2,559
6. Step 6: Final answer
   x = 5,757.75