Finding the Third Proportional to 828.56 and 1,772.30

Step by Step Solution

1. Step 1: Write the proportion equation
   828.56 : 1,772.30 = 1,772.30 : x
2. Step 2: Convert to fraction form
   828.56/1,772.30 = 1,772.30/x
3. Step 3: Cross multiply
   828.56x = 1,772.30 × 1,772.30
4. Step 4: Simplify right side
   828.56x = 3,141,036.21
5. Step 5: Solve for x
   x = 3,141,036.21/828.56
6. Step 6: Final answer
   x = 3,790.95