Finding the Third Proportional to 2,164 and 4,760

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164 : 4,760 = 4,760 : x
2. Step 2: Convert to fraction form
   2,164/4,760 = 4,760/x
3. Step 3: Cross multiply
   2,164x = 4,760 × 4,760
4. Step 4: Simplify right side
   2,164x = 22,657,600
5. Step 5: Solve for x
   x = 22,657,600/2,164
6. Step 6: Final answer
   x = 10,470.24