Finding the Third Proportional to 1,608.19 and 3,079.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.19 : 3,079.69 = 3,079.69 : x
2. Step 2: Convert to fraction form
   1,608.19/3,079.69 = 3,079.69/x
3. Step 3: Cross multiply
   1,608.19x = 3,079.69 × 3,079.69
4. Step 4: Simplify right side
   1,608.19x = 9,484,475.10
5. Step 5: Solve for x
   x = 9,484,475.10/1,608.19
6. Step 6: Final answer
   x = 5,897.62