Finding the Third Proportional to 816.47 and 1,789.31

Step by Step Solution

1. Step 1: Write the proportion equation
   816.47 : 1,789.31 = 1,789.31 : x
2. Step 2: Convert to fraction form
   816.47/1,789.31 = 1,789.31/x
3. Step 3: Cross multiply
   816.47x = 1,789.31 × 1,789.31
4. Step 4: Simplify right side
   816.47x = 3,201,639.22
5. Step 5: Solve for x
   x = 3,201,639.22/816.47
6. Step 6: Final answer
   x = 3,921.32