Finding the Third Proportional to 2,081.50 and 4,676

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.50 : 4,676 = 4,676 : x
2. Step 2: Convert to fraction form
   2,081.50/4,676 = 4,676/x
3. Step 3: Cross multiply
   2,081.50x = 4,676 × 4,676
4. Step 4: Simplify right side
   2,081.50x = 21,864,976
5. Step 5: Solve for x
   x = 21,864,976/2,081.50
6. Step 6: Final answer
   x = 10,504.43