Finding the Third Proportional to 896.50 and 1,849

Step by Step Solution

1. Step 1: Write the proportion equation
   896.50 : 1,849 = 1,849 : x
2. Step 2: Convert to fraction form
   896.50/1,849 = 1,849/x
3. Step 3: Cross multiply
   896.50x = 1,849 × 1,849
4. Step 4: Simplify right side
   896.50x = 3,418,801
5. Step 5: Solve for x
   x = 3,418,801/896.50
6. Step 6: Final answer
   x = 3,813.50