Finding the Third Proportional to 826.31 and 1,805.91

Step by Step Solution

1. Step 1: Write the proportion equation
   826.31 : 1,805.91 = 1,805.91 : x
2. Step 2: Convert to fraction form
   826.31/1,805.91 = 1,805.91/x
3. Step 3: Cross multiply
   826.31x = 1,805.91 × 1,805.91
4. Step 4: Simplify right side
   826.31x = 3,261,297.38
5. Step 5: Solve for x
   x = 3,261,297.38/826.31
6. Step 6: Final answer
   x = 3,946.81