Finding the Third Proportional to 23,832 and 47,065

Step by Step Solution

1. Step 1: Write the proportion equation
   23,832 : 47,065 = 47,065 : x
2. Step 2: Convert to fraction form
   23,832/47,065 = 47,065/x
3. Step 3: Cross multiply
   23,832x = 47,065 × 47,065
4. Step 4: Simplify right side
   23,832x = 2,215,114,225
5. Step 5: Solve for x
   x = 2,215,114,225/23,832
6. Step 6: Final answer
   x = 92,947.06