Finding the Third Proportional to 6,383.25 and 13,738.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,383.25 : 13,738.88 = 13,738.88 : x
2. Step 2: Convert to fraction form
   6,383.25/13,738.88 = 13,738.88/x
3. Step 3: Cross multiply
   6,383.25x = 13,738.88 × 13,738.88
4. Step 4: Simplify right side
   6,383.25x = 188,756,686.27
5. Step 5: Solve for x
   x = 188,756,686.27/6,383.25
6. Step 6: Final answer
   x = 29,570.62