Finding the Third Proportional to 1,151.44 and 1,853.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.44 : 1,853.72 = 1,853.72 : x
2. Step 2: Convert to fraction form
   1,151.44/1,853.72 = 1,853.72/x
3. Step 3: Cross multiply
   1,151.44x = 1,853.72 × 1,853.72
4. Step 4: Simplify right side
   1,151.44x = 3,436,273.20
5. Step 5: Solve for x
   x = 3,436,273.20/1,151.44
6. Step 6: Final answer
   x = 2,984.33