Finding the Third Proportional to 853.50 and 1,339.69

Step by Step Solution

1. Step 1: Write the proportion equation
   853.50 : 1,339.69 = 1,339.69 : x
2. Step 2: Convert to fraction form
   853.50/1,339.69 = 1,339.69/x
3. Step 3: Cross multiply
   853.50x = 1,339.69 × 1,339.69
4. Step 4: Simplify right side
   853.50x = 1,794,762.60
5. Step 5: Solve for x
   x = 1,794,762.60/853.50
6. Step 6: Final answer
   x = 2,102.83