Finding the Third Proportional to 3,538.69 and 5,456.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 5,456.81 = 5,456.81 : x
2. Step 2: Convert to fraction form
   3,538.69/5,456.81 = 5,456.81/x
3. Step 3: Cross multiply
   3,538.69x = 5,456.81 × 5,456.81
4. Step 4: Simplify right side
   3,538.69x = 29,776,802.66
5. Step 5: Solve for x
   x = 29,776,802.66/3,538.69
6. Step 6: Final answer
   x = 8,414.65