Finding the Third Proportional to 1,478.25 and 3,229.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478.25 : 3,229.88 = 3,229.88 : x
2. Step 2: Convert to fraction form
   1,478.25/3,229.88 = 3,229.88/x
3. Step 3: Cross multiply
   1,478.25x = 3,229.88 × 3,229.88
4. Step 4: Simplify right side
   1,478.25x = 10,432,092.52
5. Step 5: Solve for x
   x = 10,432,092.52/1,478.25
6. Step 6: Final answer
   x = 7,057.06