Finding the Third Proportional to 1,282.78 and 1,959.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.78 : 1,959.05 = 1,959.05 : x
2. Step 2: Convert to fraction form
   1,282.78/1,959.05 = 1,959.05/x
3. Step 3: Cross multiply
   1,282.78x = 1,959.05 × 1,959.05
4. Step 4: Simplify right side
   1,282.78x = 3,837,864.66
5. Step 5: Solve for x
   x = 3,837,864.66/1,282.78
6. Step 6: Final answer
   x = 2,991.83