Finding the Third Proportional to 1,036.88 and 2,278.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.88 : 2,278.78 = 2,278.78 : x
2. Step 2: Convert to fraction form
   1,036.88/2,278.78 = 2,278.78/x
3. Step 3: Cross multiply
   1,036.88x = 2,278.78 × 2,278.78
4. Step 4: Simplify right side
   1,036.88x = 5,192,843.99
5. Step 5: Solve for x
   x = 5,192,843.99/1,036.88
6. Step 6: Final answer
   x = 5,008.17