Finding the Third Proportional to 1,017.14 and 1,702.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.14 : 1,702.27 = 1,702.27 : x
2. Step 2: Convert to fraction form
   1,017.14/1,702.27 = 1,702.27/x
3. Step 3: Cross multiply
   1,017.14x = 1,702.27 × 1,702.27
4. Step 4: Simplify right side
   1,017.14x = 2,897,708.26
5. Step 5: Solve for x
   x = 2,897,708.26/1,017.14
6. Step 6: Final answer
   x = 2,848.88