Finding the Third Proportional to 2,852 and 5,770

Step by Step Solution

1. Step 1: Write the proportion equation
   2,852 : 5,770 = 5,770 : x
2. Step 2: Convert to fraction form
   2,852/5,770 = 5,770/x
3. Step 3: Cross multiply
   2,852x = 5,770 × 5,770
4. Step 4: Simplify right side
   2,852x = 33,292,900
5. Step 5: Solve for x
   x = 33,292,900/2,852
6. Step 6: Final answer
   x = 11,673.53