Finding the Third Proportional to 2,639.81 and 5,648.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,639.81 : 5,648.63 = 5,648.63 : x
2. Step 2: Convert to fraction form
   2,639.81/5,648.63 = 5,648.63/x
3. Step 3: Cross multiply
   2,639.81x = 5,648.63 × 5,648.63
4. Step 4: Simplify right side
   2,639.81x = 31,906,964.39
5. Step 5: Solve for x
   x = 31,906,964.39/2,639.81
6. Step 6: Final answer
   x = 12,086.83