Finding the Third Proportional to 7,680 and 12,326

Step by Step Solution

1. Step 1: Write the proportion equation
   7,680 : 12,326 = 12,326 : x
2. Step 2: Convert to fraction form
   7,680/12,326 = 12,326/x
3. Step 3: Cross multiply
   7,680x = 12,326 × 12,326
4. Step 4: Simplify right side
   7,680x = 151,930,276
5. Step 5: Solve for x
   x = 151,930,276/7,680
6. Step 6: Final answer
   x = 19,782.59