Finding the Third Proportional to 832 and 1,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   832 : 1,830.50 = 1,830.50 : x
2. Step 2: Convert to fraction form
   832/1,830.50 = 1,830.50/x
3. Step 3: Cross multiply
   832x = 1,830.50 × 1,830.50
4. Step 4: Simplify right side
   832x = 3,350,730.25
5. Step 5: Solve for x
   x = 3,350,730.25/832
6. Step 6: Final answer
   x = 4,027.32