Finding the Third Proportional to 4,640 and 10,864

Step by Step Solution

1. Step 1: Write the proportion equation
   4,640 : 10,864 = 10,864 : x
2. Step 2: Convert to fraction form
   4,640/10,864 = 10,864/x
3. Step 3: Cross multiply
   4,640x = 10,864 × 10,864
4. Step 4: Simplify right side
   4,640x = 118,026,496
5. Step 5: Solve for x
   x = 118,026,496/4,640
6. Step 6: Final answer
   x = 25,436.74