Finding the Third Proportional to 1,608.19 and 2,429.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.19 : 2,429.30 = 2,429.30 : x
2. Step 2: Convert to fraction form
   1,608.19/2,429.30 = 2,429.30/x
3. Step 3: Cross multiply
   1,608.19x = 2,429.30 × 2,429.30
4. Step 4: Simplify right side
   1,608.19x = 5,901,483.31
5. Step 5: Solve for x
   x = 5,901,483.31/1,608.19
6. Step 6: Final answer
   x = 3,669.65