Finding the Third Proportional to 871 and 1,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   871 : 1,383.50 = 1,383.50 : x
2. Step 2: Convert to fraction form
   871/1,383.50 = 1,383.50/x
3. Step 3: Cross multiply
   871x = 1,383.50 × 1,383.50
4. Step 4: Simplify right side
   871x = 1,914,072.25
5. Step 5: Solve for x
   x = 1,914,072.25/871
6. Step 6: Final answer
   x = 2,197.56