Finding the Third Proportional to 853.50 and 1,871.06

Step by Step Solution

1. Step 1: Write the proportion equation
   853.50 : 1,871.06 = 1,871.06 : x
2. Step 2: Convert to fraction form
   853.50/1,871.06 = 1,871.06/x
3. Step 3: Cross multiply
   853.50x = 1,871.06 × 1,871.06
4. Step 4: Simplify right side
   853.50x = 3,500,874.88
5. Step 5: Solve for x
   x = 3,500,874.88/853.50
6. Step 6: Final answer
   x = 4,101.79