Finding the Third Proportional to 853.69 and 1,806.56

Step by Step Solution

1. Step 1: Write the proportion equation
   853.69 : 1,806.56 = 1,806.56 : x
2. Step 2: Convert to fraction form
   853.69/1,806.56 = 1,806.56/x
3. Step 3: Cross multiply
   853.69x = 1,806.56 × 1,806.56
4. Step 4: Simplify right side
   853.69x = 3,263,668.07
5. Step 5: Solve for x
   x = 3,263,668.07/853.69
6. Step 6: Final answer
   x = 3,823.02