Finding the Third Proportional to 1,285.45 and 1,919.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,285.45 : 1,919.77 = 1,919.77 : x
2. Step 2: Convert to fraction form
   1,285.45/1,919.77 = 1,919.77/x
3. Step 3: Cross multiply
   1,285.45x = 1,919.77 × 1,919.77
4. Step 4: Simplify right side
   1,285.45x = 3,685,498.65
5. Step 5: Solve for x
   x = 3,685,498.65/1,285.45
6. Step 6: Final answer
   x = 2,867.09