Finding the Third Proportional to 1,279.69 and 2,595.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,279.69 : 2,595.38 = 2,595.38 : x
2. Step 2: Convert to fraction form
   1,279.69/2,595.38 = 2,595.38/x
3. Step 3: Cross multiply
   1,279.69x = 2,595.38 × 2,595.38
4. Step 4: Simplify right side
   1,279.69x = 6,735,971.39
5. Step 5: Solve for x
   x = 6,735,971.39/1,279.69
6. Step 6: Final answer
   x = 5,263.76