Finding the Third Proportional to 1,170 and 1,740

Step by Step Solution

1. Step 1: Write the proportion equation
   1,170 : 1,740 = 1,740 : x
2. Step 2: Convert to fraction form
   1,170/1,740 = 1,740/x
3. Step 3: Cross multiply
   1,170x = 1,740 × 1,740
4. Step 4: Simplify right side
   1,170x = 3,027,600
5. Step 5: Solve for x
   x = 3,027,600/1,170
6. Step 6: Final answer
   x = 2,587.69