Finding the Third Proportional to 689.34 and 1,020.52

Step by Step Solution

1. Step 1: Write the proportion equation
   689.34 : 1,020.52 = 1,020.52 : x
2. Step 2: Convert to fraction form
   689.34/1,020.52 = 1,020.52/x
3. Step 3: Cross multiply
   689.34x = 1,020.52 × 1,020.52
4. Step 4: Simplify right side
   689.34x = 1,041,452.14
5. Step 5: Solve for x
   x = 1,041,452.14/689.34
6. Step 6: Final answer
   x = 1,510.79