Finding the Third Proportional to 9,680 and 22,848

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 22,848 = 22,848 : x
2. Step 2: Convert to fraction form
   9,680/22,848 = 22,848/x
3. Step 3: Cross multiply
   9,680x = 22,848 × 22,848
4. Step 4: Simplify right side
   9,680x = 522,031,104
5. Step 5: Solve for x
   x = 522,031,104/9,680
6. Step 6: Final answer
   x = 53,928.83