Finding the Third Proportional to 2,162.81 and 4,705.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.81 : 4,705.31 = 4,705.31 : x
2. Step 2: Convert to fraction form
   2,162.81/4,705.31 = 4,705.31/x
3. Step 3: Cross multiply
   2,162.81x = 4,705.31 × 4,705.31
4. Step 4: Simplify right side
   2,162.81x = 22,139,965.72
5. Step 5: Solve for x
   x = 22,139,965.72/2,162.81
6. Step 6: Final answer
   x = 10,236.66