Finding the Third Proportional to 1,585.69 and 3,443.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.69 : 3,443.91 = 3,443.91 : x
2. Step 2: Convert to fraction form
   1,585.69/3,443.91 = 3,443.91/x
3. Step 3: Cross multiply
   1,585.69x = 3,443.91 × 3,443.91
4. Step 4: Simplify right side
   1,585.69x = 11,860,490.26
5. Step 5: Solve for x
   x = 11,860,490.26/1,585.69
6. Step 6: Final answer
   x = 7,479.71