Finding the Third Proportional to 825.82 and 1,663.03

Step by Step Solution

1. Step 1: Write the proportion equation
   825.82 : 1,663.03 = 1,663.03 : x
2. Step 2: Convert to fraction form
   825.82/1,663.03 = 1,663.03/x
3. Step 3: Cross multiply
   825.82x = 1,663.03 × 1,663.03
4. Step 4: Simplify right side
   825.82x = 2,765,672.94
5. Step 5: Solve for x
   x = 2,765,672.94/825.82
6. Step 6: Final answer
   x = 3,349.00