Finding the Third Proportional to 1,424.67 and 1,576.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.67 : 1,576.55 = 1,576.55 : x
2. Step 2: Convert to fraction form
   1,424.67/1,576.55 = 1,576.55/x
3. Step 3: Cross multiply
   1,424.67x = 1,576.55 × 1,576.55
4. Step 4: Simplify right side
   1,424.67x = 2,485,500.05
5. Step 5: Solve for x
   x = 2,485,500.05/1,424.67
6. Step 6: Final answer
   x = 1,744.61