Finding the Third Proportional to 2,431.69 and 5,685.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.69 : 5,685.19 = 5,685.19 : x
2. Step 2: Convert to fraction form
   2,431.69/5,685.19 = 5,685.19/x
3. Step 3: Cross multiply
   2,431.69x = 5,685.19 × 5,685.19
4. Step 4: Simplify right side
   2,431.69x = 32,321,356.91
5. Step 5: Solve for x
   x = 32,321,356.91/2,431.69
6. Step 6: Final answer
   x = 13,291.74