Finding the Third Proportional to 828.50 and 1,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   828.50 : 1,466.50 = 1,466.50 : x
2. Step 2: Convert to fraction form
   828.50/1,466.50 = 1,466.50/x
3. Step 3: Cross multiply
   828.50x = 1,466.50 × 1,466.50
4. Step 4: Simplify right side
   828.50x = 2,150,622.25
5. Step 5: Solve for x
   x = 2,150,622.25/828.50
6. Step 6: Final answer
   x = 2,595.80