Finding the Third Proportional to 379.31 and 827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   379.31 : 827.25 = 827.25 : x
2. Step 2: Convert to fraction form
   379.31/827.25 = 827.25/x
3. Step 3: Cross multiply
   379.31x = 827.25 × 827.25
4. Step 4: Simplify right side
   379.31x = 684,342.56
5. Step 5: Solve for x
   x = 684,342.56/379.31
6. Step 6: Final answer
   x = 1,804.17