Finding the Third Proportional to 1,081.19 and 1,540.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.19 : 1,540.78 = 1,540.78 : x
2. Step 2: Convert to fraction form
   1,081.19/1,540.78 = 1,540.78/x
3. Step 3: Cross multiply
   1,081.19x = 1,540.78 × 1,540.78
4. Step 4: Simplify right side
   1,081.19x = 2,374,006.86
5. Step 5: Solve for x
   x = 2,374,006.86/1,081.19
6. Step 6: Final answer
   x = 2,195.74