Finding the Third Proportional to 1,405.69 and 3,291.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 3,291.47 = 3,291.47 : x
2. Step 2: Convert to fraction form
   1,405.69/3,291.47 = 3,291.47/x
3. Step 3: Cross multiply
   1,405.69x = 3,291.47 × 3,291.47
4. Step 4: Simplify right side
   1,405.69x = 10,833,766.53
5. Step 5: Solve for x
   x = 10,833,766.53/1,405.69
6. Step 6: Final answer
   x = 7,707.09