Finding the Third Proportional to 2,141.44 and 3,212.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.44 : 3,212.16 = 3,212.16 : x
2. Step 2: Convert to fraction form
   2,141.44/3,212.16 = 3,212.16/x
3. Step 3: Cross multiply
   2,141.44x = 3,212.16 × 3,212.16
4. Step 4: Simplify right side
   2,141.44x = 10,317,947.77
5. Step 5: Solve for x
   x = 10,317,947.77/2,141.44
6. Step 6: Final answer
   x = 4,818.23