Finding the Third Proportional to 3,380.25 and 7,029.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380.25 : 7,029.75 = 7,029.75 : x
2. Step 2: Convert to fraction form
   3,380.25/7,029.75 = 7,029.75/x
3. Step 3: Cross multiply
   3,380.25x = 7,029.75 × 7,029.75
4. Step 4: Simplify right side
   3,380.25x = 49,417,385.06
5. Step 5: Solve for x
   x = 49,417,385.06/3,380.25
6. Step 6: Final answer
   x = 14,619.45