Finding the Third Proportional to 1,678.78 and 2,761.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.78 : 2,761.31 = 2,761.31 : x
2. Step 2: Convert to fraction form
   1,678.78/2,761.31 = 2,761.31/x
3. Step 3: Cross multiply
   1,678.78x = 2,761.31 × 2,761.31
4. Step 4: Simplify right side
   1,678.78x = 7,624,846.72
5. Step 5: Solve for x
   x = 7,624,846.72/1,678.78
6. Step 6: Final answer
   x = 4,541.89