Finding the Third Proportional to 3,743.72 and 5,411.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,743.72 : 5,411.81 = 5,411.81 : x
2. Step 2: Convert to fraction form
   3,743.72/5,411.81 = 5,411.81/x
3. Step 3: Cross multiply
   3,743.72x = 5,411.81 × 5,411.81
4. Step 4: Simplify right side
   3,743.72x = 29,287,714.54
5. Step 5: Solve for x
   x = 29,287,714.54/3,743.72
6. Step 6: Final answer
   x = 7,823.16