Finding the Third Proportional to 2,923 and 3,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,923 : 3,799.50 = 3,799.50 : x
2. Step 2: Convert to fraction form
   2,923/3,799.50 = 3,799.50/x
3. Step 3: Cross multiply
   2,923x = 3,799.50 × 3,799.50
4. Step 4: Simplify right side
   2,923x = 14,436,200.25
5. Step 5: Solve for x
   x = 14,436,200.25/2,923
6. Step 6: Final answer
   x = 4,938.83