Finding the Third Proportional to 4,806 and 10,656

Step by Step Solution

1. Step 1: Write the proportion equation
   4,806 : 10,656 = 10,656 : x
2. Step 2: Convert to fraction form
   4,806/10,656 = 10,656/x
3. Step 3: Cross multiply
   4,806x = 10,656 × 10,656
4. Step 4: Simplify right side
   4,806x = 113,550,336
5. Step 5: Solve for x
   x = 113,550,336/4,806
6. Step 6: Final answer
   x = 23,626.79