Finding the Third Proportional to 43,238 and 67,665

Step by Step Solution

1. Step 1: Write the proportion equation
   43,238 : 67,665 = 67,665 : x
2. Step 2: Convert to fraction form
   43,238/67,665 = 67,665/x
3. Step 3: Cross multiply
   43,238x = 67,665 × 67,665
4. Step 4: Simplify right side
   43,238x = 4,578,552,225
5. Step 5: Solve for x
   x = 4,578,552,225/43,238
6. Step 6: Final answer
   x = 105,891.86