Finding the Third Proportional to 2,839.50 and 3,737.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,839.50 : 3,737.25 = 3,737.25 : x
2. Step 2: Convert to fraction form
   2,839.50/3,737.25 = 3,737.25/x
3. Step 3: Cross multiply
   2,839.50x = 3,737.25 × 3,737.25
4. Step 4: Simplify right side
   2,839.50x = 13,967,037.56
5. Step 5: Solve for x
   x = 13,967,037.56/2,839.50
6. Step 6: Final answer
   x = 4,918.84