Finding the Third Proportional to 1,584.56 and 3,429.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.56 : 3,429.84 = 3,429.84 : x
2. Step 2: Convert to fraction form
   1,584.56/3,429.84 = 3,429.84/x
3. Step 3: Cross multiply
   1,584.56x = 3,429.84 × 3,429.84
4. Step 4: Simplify right side
   1,584.56x = 11,763,828.15
5. Step 5: Solve for x
   x = 11,763,828.15/1,584.56
6. Step 6: Final answer
   x = 7,424.02