Finding the Third Proportional to 3,188.25 and 4,498.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,188.25 : 4,498.88 = 4,498.88 : x
2. Step 2: Convert to fraction form
   3,188.25/4,498.88 = 4,498.88/x
3. Step 3: Cross multiply
   3,188.25x = 4,498.88 × 4,498.88
4. Step 4: Simplify right side
   3,188.25x = 20,239,876.27
5. Step 5: Solve for x
   x = 20,239,876.27/3,188.25
6. Step 6: Final answer
   x = 6,348.27