Finding the Third Proportional to 814.31 and 1,702.69

Step by Step Solution

1. Step 1: Write the proportion equation
   814.31 : 1,702.69 = 1,702.69 : x
2. Step 2: Convert to fraction form
   814.31/1,702.69 = 1,702.69/x
3. Step 3: Cross multiply
   814.31x = 1,702.69 × 1,702.69
4. Step 4: Simplify right side
   814.31x = 2,899,144.72
5. Step 5: Solve for x
   x = 2,899,144.72/814.31
6. Step 6: Final answer
   x = 3,560.24