Finding the Third Proportional to 2,538 and 4,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 4,144.50 = 4,144.50 : x
2. Step 2: Convert to fraction form
   2,538/4,144.50 = 4,144.50/x
3. Step 3: Cross multiply
   2,538x = 4,144.50 × 4,144.50
4. Step 4: Simplify right side
   2,538x = 17,176,880.25
5. Step 5: Solve for x
   x = 17,176,880.25/2,538
6. Step 6: Final answer
   x = 6,767.88