Finding the Third Proportional to 1,576.55 and 3,429.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,576.55 : 3,429.42 = 3,429.42 : x
2. Step 2: Convert to fraction form
   1,576.55/3,429.42 = 3,429.42/x
3. Step 3: Cross multiply
   1,576.55x = 3,429.42 × 3,429.42
4. Step 4: Simplify right side
   1,576.55x = 11,760,934.40
5. Step 5: Solve for x
   x = 11,760,934.40/1,576.55
6. Step 6: Final answer
   x = 7,459.93