Finding the Third Proportional to 11,680 and 12,928

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 12,928 = 12,928 : x
2. Step 2: Convert to fraction form
   11,680/12,928 = 12,928/x
3. Step 3: Cross multiply
   11,680x = 12,928 × 12,928
4. Step 4: Simplify right side
   11,680x = 167,133,184
5. Step 5: Solve for x
   x = 167,133,184/11,680
6. Step 6: Final answer
   x = 14,309.35