Finding the Third Proportional to 826.44 and 1,721.38

Step by Step Solution

1. Step 1: Write the proportion equation
   826.44 : 1,721.38 = 1,721.38 : x
2. Step 2: Convert to fraction form
   826.44/1,721.38 = 1,721.38/x
3. Step 3: Cross multiply
   826.44x = 1,721.38 × 1,721.38
4. Step 4: Simplify right side
   826.44x = 2,963,131.89
5. Step 5: Solve for x
   x = 2,963,131.89/826.44
6. Step 6: Final answer
   x = 3,585.43