Finding the Third Proportional to 2,159.16 and 3,238.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.16 : 3,238.73 = 3,238.73 : x
2. Step 2: Convert to fraction form
   2,159.16/3,238.73 = 3,238.73/x
3. Step 3: Cross multiply
   2,159.16x = 3,238.73 × 3,238.73
4. Step 4: Simplify right side
   2,159.16x = 10,489,400.35
5. Step 5: Solve for x
   x = 10,489,400.35/2,159.16
6. Step 6: Final answer
   x = 4,858.10