Finding the Third Proportional to 3,404.81 and 5,111.44

Step by Step Solution

1. Step 1: Write the proportion equation
   3,404.81 : 5,111.44 = 5,111.44 : x
2. Step 2: Convert to fraction form
   3,404.81/5,111.44 = 5,111.44/x
3. Step 3: Cross multiply
   3,404.81x = 5,111.44 × 5,111.44
4. Step 4: Simplify right side
   3,404.81x = 26,126,793.32
5. Step 5: Solve for x
   x = 26,126,793.32/3,404.81
6. Step 6: Final answer
   x = 7,673.49