Finding the Third Proportional to 1,309.75 and 2,805.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.75 : 2,805.13 = 2,805.13 : x
2. Step 2: Convert to fraction form
   1,309.75/2,805.13 = 2,805.13/x
3. Step 3: Cross multiply
   1,309.75x = 2,805.13 × 2,805.13
4. Step 4: Simplify right side
   1,309.75x = 7,868,726.27
5. Step 5: Solve for x
   x = 7,868,726.27/1,309.75
6. Step 6: Final answer
   x = 6,007.81