Finding the Third Proportional to 4,029.75 and 7,474.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,029.75 : 7,474.78 = 7,474.78 : x
2. Step 2: Convert to fraction form
   4,029.75/7,474.78 = 7,474.78/x
3. Step 3: Cross multiply
   4,029.75x = 7,474.78 × 7,474.78
4. Step 4: Simplify right side
   4,029.75x = 55,872,354.74
5. Step 5: Solve for x
   x = 55,872,354.74/4,029.75
6. Step 6: Final answer
   x = 13,864.97