Finding the Third Proportional to 1,568.81 and 3,843.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.81 : 3,843.56 = 3,843.56 : x
2. Step 2: Convert to fraction form
   1,568.81/3,843.56 = 3,843.56/x
3. Step 3: Cross multiply
   1,568.81x = 3,843.56 × 3,843.56
4. Step 4: Simplify right side
   1,568.81x = 14,772,972.69
5. Step 5: Solve for x
   x = 14,772,972.69/1,568.81
6. Step 6: Final answer
   x = 9,416.66