Finding the Third Proportional to 822.38 and 1,761.38

Step by Step Solution

1. Step 1: Write the proportion equation
   822.38 : 1,761.38 = 1,761.38 : x
2. Step 2: Convert to fraction form
   822.38/1,761.38 = 1,761.38/x
3. Step 3: Cross multiply
   822.38x = 1,761.38 × 1,761.38
4. Step 4: Simplify right side
   822.38x = 3,102,441.89
5. Step 5: Solve for x
   x = 3,102,441.89/822.38
6. Step 6: Final answer
   x = 3,772.54