Finding the Third Proportional to 757.42 and 1,606.55

Step by Step Solution

1. Step 1: Write the proportion equation
   757.42 : 1,606.55 = 1,606.55 : x
2. Step 2: Convert to fraction form
   757.42/1,606.55 = 1,606.55/x
3. Step 3: Cross multiply
   757.42x = 1,606.55 × 1,606.55
4. Step 4: Simplify right side
   757.42x = 2,581,011.69
5. Step 5: Solve for x
   x = 2,581,011.69/757.42
6. Step 6: Final answer
   x = 3,407.62