Finding the Third Proportional to 689.34 and 1,033.59

Step by Step Solution

1. Step 1: Write the proportion equation
   689.34 : 1,033.59 = 1,033.59 : x
2. Step 2: Convert to fraction form
   689.34/1,033.59 = 1,033.59/x
3. Step 3: Cross multiply
   689.34x = 1,033.59 × 1,033.59
4. Step 4: Simplify right side
   689.34x = 1,068,316.04
5. Step 5: Solve for x
   x = 1,068,316.04/689.34
6. Step 6: Final answer
   x = 1,549.76