Finding the Third Proportional to 3,179.25 and 4,624.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,179.25 : 4,624.59 = 4,624.59 : x
2. Step 2: Convert to fraction form
   3,179.25/4,624.59 = 4,624.59/x
3. Step 3: Cross multiply
   3,179.25x = 4,624.59 × 4,624.59
4. Step 4: Simplify right side
   3,179.25x = 21,386,867.35
5. Step 5: Solve for x
   x = 21,386,867.35/3,179.25
6. Step 6: Final answer
   x = 6,727.02