Finding the Third Proportional to 828 and 1,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   828 : 1,795.50 = 1,795.50 : x
2. Step 2: Convert to fraction form
   828/1,795.50 = 1,795.50/x
3. Step 3: Cross multiply
   828x = 1,795.50 × 1,795.50
4. Step 4: Simplify right side
   828x = 3,223,820.25
5. Step 5: Solve for x
   x = 3,223,820.25/828
6. Step 6: Final answer
   x = 3,893.50