Finding the Third Proportional to 689.34 and 997.31

Step by Step Solution

1. Step 1: Write the proportion equation
   689.34 : 997.31 = 997.31 : x
2. Step 2: Convert to fraction form
   689.34/997.31 = 997.31/x
3. Step 3: Cross multiply
   689.34x = 997.31 × 997.31
4. Step 4: Simplify right side
   689.34x = 994,632.22
5. Step 5: Solve for x
   x = 994,632.22/689.34
6. Step 6: Final answer
   x = 1,442.87