Finding the Third Proportional to 2,678.06 and 4,014.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.06 : 4,014.56 = 4,014.56 : x
2. Step 2: Convert to fraction form
   2,678.06/4,014.56 = 4,014.56/x
3. Step 3: Cross multiply
   2,678.06x = 4,014.56 × 4,014.56
4. Step 4: Simplify right side
   2,678.06x = 16,116,712.07
5. Step 5: Solve for x
   x = 16,116,712.07/2,678.06
6. Step 6: Final answer
   x = 6,018.05