Finding the Third Proportional to 830 and 1,285.38

Step by Step Solution

1. Step 1: Write the proportion equation
   830 : 1,285.38 = 1,285.38 : x
2. Step 2: Convert to fraction form
   830/1,285.38 = 1,285.38/x
3. Step 3: Cross multiply
   830x = 1,285.38 × 1,285.38
4. Step 4: Simplify right side
   830x = 1,652,188.89
5. Step 5: Solve for x
   x = 1,652,188.89/830
6. Step 6: Final answer
   x = 1,990.59