Finding the Third Proportional to 1,270.50 and 1,919.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,270.50 : 1,919.25 = 1,919.25 : x
2. Step 2: Convert to fraction form
   1,270.50/1,919.25 = 1,919.25/x
3. Step 3: Cross multiply
   1,270.50x = 1,919.25 × 1,919.25
4. Step 4: Simplify right side
   1,270.50x = 3,683,520.56
5. Step 5: Solve for x
   x = 3,683,520.56/1,270.50
6. Step 6: Final answer
   x = 2,899.27