Finding the Third Proportional to 23,200 and 49,680

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 49,680 = 49,680 : x
2. Step 2: Convert to fraction form
   23,200/49,680 = 49,680/x
3. Step 3: Cross multiply
   23,200x = 49,680 × 49,680
4. Step 4: Simplify right side
   23,200x = 2,468,102,400
5. Step 5: Solve for x
   x = 2,468,102,400/23,200
6. Step 6: Final answer
   x = 106,383.72