Finding the Third Proportional to 819.94 and 1,732.31

Step by Step Solution

1. Step 1: Write the proportion equation
   819.94 : 1,732.31 = 1,732.31 : x
2. Step 2: Convert to fraction form
   819.94/1,732.31 = 1,732.31/x
3. Step 3: Cross multiply
   819.94x = 1,732.31 × 1,732.31
4. Step 4: Simplify right side
   819.94x = 3,000,906.60
5. Step 5: Solve for x
   x = 3,000,906.60/819.94
6. Step 6: Final answer
   x = 3,659.92