Finding the Third Proportional to 1,504 and 1,770

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504 : 1,770 = 1,770 : x
2. Step 2: Convert to fraction form
   1,504/1,770 = 1,770/x
3. Step 3: Cross multiply
   1,504x = 1,770 × 1,770
4. Step 4: Simplify right side
   1,504x = 3,132,900
5. Step 5: Solve for x
   x = 3,132,900/1,504
6. Step 6: Final answer
   x = 2,083.05