Finding the Third Proportional to 689.81 and 1,446.56

Step by Step Solution

1. Step 1: Write the proportion equation
   689.81 : 1,446.56 = 1,446.56 : x
2. Step 2: Convert to fraction form
   689.81/1,446.56 = 1,446.56/x
3. Step 3: Cross multiply
   689.81x = 1,446.56 × 1,446.56
4. Step 4: Simplify right side
   689.81x = 2,092,543.07
5. Step 5: Solve for x
   x = 2,092,543.07/689.81
6. Step 6: Final answer
   x = 3,033.50