Finding the Third Proportional to 1,693.69 and 2,424.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,693.69 : 2,424.09 = 2,424.09 : x
2. Step 2: Convert to fraction form
   1,693.69/2,424.09 = 2,424.09/x
3. Step 3: Cross multiply
   1,693.69x = 2,424.09 × 2,424.09
4. Step 4: Simplify right side
   1,693.69x = 5,876,230.51
5. Step 5: Solve for x
   x = 5,876,230.51/1,693.69
6. Step 6: Final answer
   x = 3,469.49