Finding the Third Proportional to 569.72 and 853.31

Step by Step Solution

1. Step 1: Write the proportion equation
   569.72 : 853.31 = 853.31 : x
2. Step 2: Convert to fraction form
   569.72/853.31 = 853.31/x
3. Step 3: Cross multiply
   569.72x = 853.31 × 853.31
4. Step 4: Simplify right side
   569.72x = 728,142.22
5. Step 5: Solve for x
   x = 728,142.22/569.72
6. Step 6: Final answer
   x = 1,278.07