Finding the Third Proportional to 10,784 and 12,768

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 12,768 = 12,768 : x
2. Step 2: Convert to fraction form
   10,784/12,768 = 12,768/x
3. Step 3: Cross multiply
   10,784x = 12,768 × 12,768
4. Step 4: Simplify right side
   10,784x = 163,021,824
5. Step 5: Solve for x
   x = 163,021,824/10,784
6. Step 6: Final answer
   x = 15,117.01