Finding the Third Proportional to 3,663.94 and 5,648.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,663.94 : 5,648.63 = 5,648.63 : x
2. Step 2: Convert to fraction form
   3,663.94/5,648.63 = 5,648.63/x
3. Step 3: Cross multiply
   3,663.94x = 5,648.63 × 5,648.63
4. Step 4: Simplify right side
   3,663.94x = 31,906,964.39
5. Step 5: Solve for x
   x = 31,906,964.39/3,663.94
6. Step 6: Final answer
   x = 8,708.38