Finding the Third Proportional to 1,794.19 and 1,982.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,794.19 : 1,982.06 = 1,982.06 : x
2. Step 2: Convert to fraction form
   1,794.19/1,982.06 = 1,982.06/x
3. Step 3: Cross multiply
   1,794.19x = 1,982.06 × 1,982.06
4. Step 4: Simplify right side
   1,794.19x = 3,928,571.75
5. Step 5: Solve for x
   x = 3,928,571.75/1,794.19
6. Step 6: Final answer
   x = 2,189.61