Finding the Third Proportional to 822.81 and 1,758.63

Step by Step Solution

1. Step 1: Write the proportion equation
   822.81 : 1,758.63 = 1,758.63 : x
2. Step 2: Convert to fraction form
   822.81/1,758.63 = 1,758.63/x
3. Step 3: Cross multiply
   822.81x = 1,758.63 × 1,758.63
4. Step 4: Simplify right side
   822.81x = 3,092,761.89
5. Step 5: Solve for x
   x = 3,092,761.89/822.81
6. Step 6: Final answer
   x = 3,758.77