Finding the Third Proportional to 3,854.25 and 7,257.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.25 : 7,257.94 = 7,257.94 : x
2. Step 2: Convert to fraction form
   3,854.25/7,257.94 = 7,257.94/x
3. Step 3: Cross multiply
   3,854.25x = 7,257.94 × 7,257.94
4. Step 4: Simplify right side
   3,854.25x = 52,677,656.75
5. Step 5: Solve for x
   x = 52,677,656.75/3,854.25
6. Step 6: Final answer
   x = 13,667.42