Finding the Third Proportional to 379.31 and 825.94

Step by Step Solution

1. Step 1: Write the proportion equation
   379.31 : 825.94 = 825.94 : x
2. Step 2: Convert to fraction form
   379.31/825.94 = 825.94/x
3. Step 3: Cross multiply
   379.31x = 825.94 × 825.94
4. Step 4: Simplify right side
   379.31x = 682,172.75
5. Step 5: Solve for x
   x = 682,172.75/379.31
6. Step 6: Final answer
   x = 1,798.45