Finding the Third Proportional to 6,323.75 and 13,857.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,323.75 : 13,857.25 = 13,857.25 : x
2. Step 2: Convert to fraction form
   6,323.75/13,857.25 = 13,857.25/x
3. Step 3: Cross multiply
   6,323.75x = 13,857.25 × 13,857.25
4. Step 4: Simplify right side
   6,323.75x = 192,023,377.56
5. Step 5: Solve for x
   x = 192,023,377.56/6,323.75
6. Step 6: Final answer
   x = 30,365.43