Finding the Third Proportional to 9,832 and 23,200

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832 : 23,200 = 23,200 : x
2. Step 2: Convert to fraction form
   9,832/23,200 = 23,200/x
3. Step 3: Cross multiply
   9,832x = 23,200 × 23,200
4. Step 4: Simplify right side
   9,832x = 538,240,000
5. Step 5: Solve for x
   x = 538,240,000/9,832
6. Step 6: Final answer
   x = 54,743.69