Finding the Third Proportional to 1,270.69 and 2,678.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,270.69 : 2,678.06 = 2,678.06 : x
2. Step 2: Convert to fraction form
   1,270.69/2,678.06 = 2,678.06/x
3. Step 3: Cross multiply
   1,270.69x = 2,678.06 × 2,678.06
4. Step 4: Simplify right side
   1,270.69x = 7,172,018.75
5. Step 5: Solve for x
   x = 7,172,018.75/1,270.69
6. Step 6: Final answer
   x = 5,644.20