Finding the Third Proportional to 1,016.35 and 2,227.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.35 : 2,227.31 = 2,227.31 : x
2. Step 2: Convert to fraction form
   1,016.35/2,227.31 = 2,227.31/x
3. Step 3: Cross multiply
   1,016.35x = 2,227.31 × 2,227.31
4. Step 4: Simplify right side
   1,016.35x = 4,960,919.34
5. Step 5: Solve for x
   x = 4,960,919.34/1,016.35
6. Step 6: Final answer
   x = 4,881.13