Finding the Third Proportional to 874.31 and 1,822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   874.31 : 1,822.69 = 1,822.69 : x
2. Step 2: Convert to fraction form
   874.31/1,822.69 = 1,822.69/x
3. Step 3: Cross multiply
   874.31x = 1,822.69 × 1,822.69
4. Step 4: Simplify right side
   874.31x = 3,322,189.72
5. Step 5: Solve for x
   x = 3,322,189.72/874.31
6. Step 6: Final answer
   x = 3,799.77