Finding the Third Proportional to 3,378.38 and 7,026.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,378.38 : 7,026.75 = 7,026.75 : x
2. Step 2: Convert to fraction form
   3,378.38/7,026.75 = 7,026.75/x
3. Step 3: Cross multiply
   3,378.38x = 7,026.75 × 7,026.75
4. Step 4: Simplify right side
   3,378.38x = 49,375,215.56
5. Step 5: Solve for x
   x = 49,375,215.56/3,378.38
6. Step 6: Final answer
   x = 14,615.08