Finding the Third Proportional to 3,643.73 and 7,786.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.73 : 7,786.76 = 7,786.76 : x
2. Step 2: Convert to fraction form
   3,643.73/7,786.76 = 7,786.76/x
3. Step 3: Cross multiply
   3,643.73x = 7,786.76 × 7,786.76
4. Step 4: Simplify right side
   3,643.73x = 60,633,597.23
5. Step 5: Solve for x
   x = 60,633,597.23/3,643.73
6. Step 6: Final answer
   x = 16,640.51