Finding the Third Proportional to 819 and 1,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   819 : 1,784.25 = 1,784.25 : x
2. Step 2: Convert to fraction form
   819/1,784.25 = 1,784.25/x
3. Step 3: Cross multiply
   819x = 1,784.25 × 1,784.25
4. Step 4: Simplify right side
   819x = 3,183,548.06
5. Step 5: Solve for x
   x = 3,183,548.06/819
6. Step 6: Final answer
   x = 3,887.12