Finding the Third Proportional to 1,616.63 and 2,424.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.63 : 2,424.38 = 2,424.38 : x
2. Step 2: Convert to fraction form
   1,616.63/2,424.38 = 2,424.38/x
3. Step 3: Cross multiply
   1,616.63x = 2,424.38 × 2,424.38
4. Step 4: Simplify right side
   1,616.63x = 5,877,594.14
5. Step 5: Solve for x
   x = 5,877,594.14/1,616.63
6. Step 6: Final answer
   x = 3,635.72