Finding the Third Proportional to 7,824 and 10,656

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824 : 10,656 = 10,656 : x
2. Step 2: Convert to fraction form
   7,824/10,656 = 10,656/x
3. Step 3: Cross multiply
   7,824x = 10,656 × 10,656
4. Step 4: Simplify right side
   7,824x = 113,550,336
5. Step 5: Solve for x
   x = 113,550,336/7,824
6. Step 6: Final answer
   x = 14,513.08