Finding the Third Proportional to 1,279.69 and 2,802.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,279.69 : 2,802.38 = 2,802.38 : x
2. Step 2: Convert to fraction form
   1,279.69/2,802.38 = 2,802.38/x
3. Step 3: Cross multiply
   1,279.69x = 2,802.38 × 2,802.38
4. Step 4: Simplify right side
   1,279.69x = 7,853,305.64
5. Step 5: Solve for x
   x = 7,853,305.64/1,279.69
6. Step 6: Final answer
   x = 6,136.89