Finding the Third Proportional to 4,760 and 10,540

Step by Step Solution

1. Step 1: Write the proportion equation
   4,760 : 10,540 = 10,540 : x
2. Step 2: Convert to fraction form
   4,760/10,540 = 10,540/x
3. Step 3: Cross multiply
   4,760x = 10,540 × 10,540
4. Step 4: Simplify right side
   4,760x = 111,091,600
5. Step 5: Solve for x
   x = 111,091,600/4,760
6. Step 6: Final answer
   x = 23,338.57