Finding the Third Proportional to 4,864 and 10,790

Step by Step Solution

1. Step 1: Write the proportion equation
   4,864 : 10,790 = 10,790 : x
2. Step 2: Convert to fraction form
   4,864/10,790 = 10,790/x
3. Step 3: Cross multiply
   4,864x = 10,790 × 10,790
4. Step 4: Simplify right side
   4,864x = 116,424,100
5. Step 5: Solve for x
   x = 116,424,100/4,864
6. Step 6: Final answer
   x = 23,935.88