Finding the Third Proportional to 1,900.50 and 2,919.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.50 : 2,919.75 = 2,919.75 : x
2. Step 2: Convert to fraction form
   1,900.50/2,919.75 = 2,919.75/x
3. Step 3: Cross multiply
   1,900.50x = 2,919.75 × 2,919.75
4. Step 4: Simplify right side
   1,900.50x = 8,524,940.06
5. Step 5: Solve for x
   x = 8,524,940.06/1,900.50
6. Step 6: Final answer
   x = 4,485.63