Finding the Third Proportional to 830.56 and 1,797.56

Step by Step Solution

1. Step 1: Write the proportion equation
   830.56 : 1,797.56 = 1,797.56 : x
2. Step 2: Convert to fraction form
   830.56/1,797.56 = 1,797.56/x
3. Step 3: Cross multiply
   830.56x = 1,797.56 × 1,797.56
4. Step 4: Simplify right side
   830.56x = 3,231,230.94
5. Step 5: Solve for x
   x = 3,231,230.94/830.56
6. Step 6: Final answer
   x = 3,890.41