Finding the Third Proportional to 828.38 and 1,725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   828.38 : 1,725.38 = 1,725.38 : x
2. Step 2: Convert to fraction form
   828.38/1,725.38 = 1,725.38/x
3. Step 3: Cross multiply
   828.38x = 1,725.38 × 1,725.38
4. Step 4: Simplify right side
   828.38x = 2,976,918.89
5. Step 5: Solve for x
   x = 2,976,918.89/828.38
6. Step 6: Final answer
   x = 3,593.69