Finding the Third Proportional to 10,832 and 23,302

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832 : 23,302 = 23,302 : x
2. Step 2: Convert to fraction form
   10,832/23,302 = 23,302/x
3. Step 3: Cross multiply
   10,832x = 23,302 × 23,302
4. Step 4: Simplify right side
   10,832x = 542,983,204
5. Step 5: Solve for x
   x = 542,983,204/10,832
6. Step 6: Final answer
   x = 50,127.70