Finding the Third Proportional to 830.75 and 1,747.56

Step by Step Solution

1. Step 1: Write the proportion equation
   830.75 : 1,747.56 = 1,747.56 : x
2. Step 2: Convert to fraction form
   830.75/1,747.56 = 1,747.56/x
3. Step 3: Cross multiply
   830.75x = 1,747.56 × 1,747.56
4. Step 4: Simplify right side
   830.75x = 3,053,974.69
5. Step 5: Solve for x
   x = 3,053,974.69/830.75
6. Step 6: Final answer
   x = 3,676.17