Finding the Third Proportional to 2,738.50 and 4,178.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.50 : 4,178.75 = 4,178.75 : x
2. Step 2: Convert to fraction form
   2,738.50/4,178.75 = 4,178.75/x
3. Step 3: Cross multiply
   2,738.50x = 4,178.75 × 4,178.75
4. Step 4: Simplify right side
   2,738.50x = 17,461,951.56
5. Step 5: Solve for x
   x = 17,461,951.56/2,738.50
6. Step 6: Final answer
   x = 6,376.47