Finding the Third Proportional to 822.50 and 1,819

Step by Step Solution

1. Step 1: Write the proportion equation
   822.50 : 1,819 = 1,819 : x
2. Step 2: Convert to fraction form
   822.50/1,819 = 1,819/x
3. Step 3: Cross multiply
   822.50x = 1,819 × 1,819
4. Step 4: Simplify right side
   822.50x = 3,308,761
5. Step 5: Solve for x
   x = 3,308,761/822.50
6. Step 6: Final answer
   x = 4,022.81