Finding the Third Proportional to 1,209.94 and 1,863

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.94 : 1,863 = 1,863 : x
2. Step 2: Convert to fraction form
   1,209.94/1,863 = 1,863/x
3. Step 3: Cross multiply
   1,209.94x = 1,863 × 1,863
4. Step 4: Simplify right side
   1,209.94x = 3,470,769
5. Step 5: Solve for x
   x = 3,470,769/1,209.94
6. Step 6: Final answer
   x = 2,868.55