Finding the Third Proportional to 2,678.50 and 3,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.50 : 3,164.50 = 3,164.50 : x
2. Step 2: Convert to fraction form
   2,678.50/3,164.50 = 3,164.50/x
3. Step 3: Cross multiply
   2,678.50x = 3,164.50 × 3,164.50
4. Step 4: Simplify right side
   2,678.50x = 10,014,060.25
5. Step 5: Solve for x
   x = 10,014,060.25/2,678.50
6. Step 6: Final answer
   x = 3,738.68