Finding the Third Proportional to 2,162.75 and 4,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.75 : 4,705.25 = 4,705.25 : x
2. Step 2: Convert to fraction form
   2,162.75/4,705.25 = 4,705.25/x
3. Step 3: Cross multiply
   2,162.75x = 4,705.25 × 4,705.25
4. Step 4: Simplify right side
   2,162.75x = 22,139,377.56
5. Step 5: Solve for x
   x = 22,139,377.56/2,162.75
6. Step 6: Final answer
   x = 10,236.68