Finding the Third Proportional to 401.41 and 1,012.92

Step by Step Solution

1. Step 1: Write the proportion equation
   401.41 : 1,012.92 = 1,012.92 : x
2. Step 2: Convert to fraction form
   401.41/1,012.92 = 1,012.92/x
3. Step 3: Cross multiply
   401.41x = 1,012.92 × 1,012.92
4. Step 4: Simplify right side
   401.41x = 1,026,010.72
5. Step 5: Solve for x
   x = 1,026,010.72/401.41
6. Step 6: Final answer
   x = 2,555.99