Finding the Third Proportional to 1,608.21 and 3,863.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.21 : 3,863.56 = 3,863.56 : x
2. Step 2: Convert to fraction form
   1,608.21/3,863.56 = 3,863.56/x
3. Step 3: Cross multiply
   1,608.21x = 3,863.56 × 3,863.56
4. Step 4: Simplify right side
   1,608.21x = 14,927,077.46
5. Step 5: Solve for x
   x = 14,927,077.46/1,608.21
6. Step 6: Final answer
   x = 9,281.77