Finding the Third Proportional to 1,008 and 1,749

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008 : 1,749 = 1,749 : x
2. Step 2: Convert to fraction form
   1,008/1,749 = 1,749/x
3. Step 3: Cross multiply
   1,008x = 1,749 × 1,749
4. Step 4: Simplify right side
   1,008x = 3,059,001
5. Step 5: Solve for x
   x = 3,059,001/1,008
6. Step 6: Final answer
   x = 3,034.72