Finding the Third Proportional to 1,017.38 and 1,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.38 : 1,647.75 = 1,647.75 : x
2. Step 2: Convert to fraction form
   1,017.38/1,647.75 = 1,647.75/x
3. Step 3: Cross multiply
   1,017.38x = 1,647.75 × 1,647.75
4. Step 4: Simplify right side
   1,017.38x = 2,715,080.06
5. Step 5: Solve for x
   x = 2,715,080.06/1,017.38
6. Step 6: Final answer
   x = 2,668.71