Finding the Third Proportional to 827.63 and 1,323.56

Step by Step Solution

1. Step 1: Write the proportion equation
   827.63 : 1,323.56 = 1,323.56 : x
2. Step 2: Convert to fraction form
   827.63/1,323.56 = 1,323.56/x
3. Step 3: Cross multiply
   827.63x = 1,323.56 × 1,323.56
4. Step 4: Simplify right side
   827.63x = 1,751,817.69
5. Step 5: Solve for x
   x = 1,751,817.69/827.63
6. Step 6: Final answer
   x = 2,116.68