Finding the Third Proportional to 853.59 and 1,339.59

Step by Step Solution

1. Step 1: Write the proportion equation
   853.59 : 1,339.59 = 1,339.59 : x
2. Step 2: Convert to fraction form
   853.59/1,339.59 = 1,339.59/x
3. Step 3: Cross multiply
   853.59x = 1,339.59 × 1,339.59
4. Step 4: Simplify right side
   853.59x = 1,794,511.42
5. Step 5: Solve for x
   x = 1,794,511.42/853.59
6. Step 6: Final answer
   x = 2,102.30