Finding the Third Proportional to 2,678.06 and 3,912.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.06 : 3,912.47 = 3,912.47 : x
2. Step 2: Convert to fraction form
   2,678.06/3,912.47 = 3,912.47/x
3. Step 3: Cross multiply
   2,678.06x = 3,912.47 × 3,912.47
4. Step 4: Simplify right side
   2,678.06x = 15,307,411.72
5. Step 5: Solve for x
   x = 15,307,411.72/2,678.06
6. Step 6: Final answer
   x = 5,715.85