Finding the Third Proportional to 1,582.03 and 2,079.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.03 : 2,079.42 = 2,079.42 : x
2. Step 2: Convert to fraction form
   1,582.03/2,079.42 = 2,079.42/x
3. Step 3: Cross multiply
   1,582.03x = 2,079.42 × 2,079.42
4. Step 4: Simplify right side
   1,582.03x = 4,323,995.33
5. Step 5: Solve for x
   x = 4,323,995.33/1,582.03
6. Step 6: Final answer
   x = 2,733.19