Finding the Third Proportional to 2,160 and 4,738

Step by Step Solution

1. Step 1: Write the proportion equation
   2,160 : 4,738 = 4,738 : x
2. Step 2: Convert to fraction form
   2,160/4,738 = 4,738/x
3. Step 3: Cross multiply
   2,160x = 4,738 × 4,738
4. Step 4: Simplify right side
   2,160x = 22,448,644
5. Step 5: Solve for x
   x = 22,448,644/2,160
6. Step 6: Final answer
   x = 10,392.89