Finding the Third Proportional to 1,293.89 and 2,769.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.89 : 2,769.61 = 2,769.61 : x
2. Step 2: Convert to fraction form
   1,293.89/2,769.61 = 2,769.61/x
3. Step 3: Cross multiply
   1,293.89x = 2,769.61 × 2,769.61
4. Step 4: Simplify right side
   1,293.89x = 7,670,736.09
5. Step 5: Solve for x
   x = 7,670,736.09/1,293.89
6. Step 6: Final answer
   x = 5,928.43