Finding the Third Proportional to 401.06 and 851.06

Step by Step Solution

1. Step 1: Write the proportion equation
   401.06 : 851.06 = 851.06 : x
2. Step 2: Convert to fraction form
   401.06/851.06 = 851.06/x
3. Step 3: Cross multiply
   401.06x = 851.06 × 851.06
4. Step 4: Simplify right side
   401.06x = 724,307.38
5. Step 5: Solve for x
   x = 724,307.38/401.06
6. Step 6: Final answer
   x = 1,805.97