Finding the Third Proportional to 16,238 and 33,724

Step by Step Solution

1. Step 1: Write the proportion equation
   16,238 : 33,724 = 33,724 : x
2. Step 2: Convert to fraction form
   16,238/33,724 = 33,724/x
3. Step 3: Cross multiply
   16,238x = 33,724 × 33,724
4. Step 4: Simplify right side
   16,238x = 1,137,308,176
5. Step 5: Solve for x
   x = 1,137,308,176/16,238
6. Step 6: Final answer
   x = 70,039.92