Finding the Third Proportional to 1,278.91 and 1,512.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,278.91 : 1,512.42 = 1,512.42 : x
2. Step 2: Convert to fraction form
   1,278.91/1,512.42 = 1,512.42/x
3. Step 3: Cross multiply
   1,278.91x = 1,512.42 × 1,512.42
4. Step 4: Simplify right side
   1,278.91x = 2,287,419.93
5. Step 5: Solve for x
   x = 2,287,419.93/1,278.91
6. Step 6: Final answer
   x = 1,788.56