Finding the Third Proportional to 853.50 and 1,434

Step by Step Solution

1. Step 1: Write the proportion equation
   853.50 : 1,434 = 1,434 : x
2. Step 2: Convert to fraction form
   853.50/1,434 = 1,434/x
3. Step 3: Cross multiply
   853.50x = 1,434 × 1,434
4. Step 4: Simplify right side
   853.50x = 2,056,356
5. Step 5: Solve for x
   x = 2,056,356/853.50
6. Step 6: Final answer
   x = 2,409.32