Finding the Third Proportional to 23,680 and 30,720

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 30,720 = 30,720 : x
2. Step 2: Convert to fraction form
   23,680/30,720 = 30,720/x
3. Step 3: Cross multiply
   23,680x = 30,720 × 30,720
4. Step 4: Simplify right side
   23,680x = 943,718,400
5. Step 5: Solve for x
   x = 943,718,400/23,680
6. Step 6: Final answer
   x = 39,852.97