Finding the Third Proportional to 10,832 and 23,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832 : 23,662 = 23,662 : x
2. Step 2: Convert to fraction form
   10,832/23,662 = 23,662/x
3. Step 3: Cross multiply
   10,832x = 23,662 × 23,662
4. Step 4: Simplify right side
   10,832x = 559,890,244
5. Step 5: Solve for x
   x = 559,890,244/10,832
6. Step 6: Final answer
   x = 51,688.54