Finding the Third Proportional to 2,160 and 4,766

Step by Step Solution

1. Step 1: Write the proportion equation
   2,160 : 4,766 = 4,766 : x
2. Step 2: Convert to fraction form
   2,160/4,766 = 4,766/x
3. Step 3: Cross multiply
   2,160x = 4,766 × 4,766
4. Step 4: Simplify right side
   2,160x = 22,714,756
5. Step 5: Solve for x
   x = 22,714,756/2,160
6. Step 6: Final answer
   x = 10,516.09