Finding the Third Proportional to 2,119.31 and 3,278.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.31 : 3,278.81 = 3,278.81 : x
2. Step 2: Convert to fraction form
   2,119.31/3,278.81 = 3,278.81/x
3. Step 3: Cross multiply
   2,119.31x = 3,278.81 × 3,278.81
4. Step 4: Simplify right side
   2,119.31x = 10,750,611.41
5. Step 5: Solve for x
   x = 10,750,611.41/2,119.31
6. Step 6: Final answer
   x = 5,072.69