Finding the Third Proportional to 23,206 and 33,972

Step by Step Solution

1. Step 1: Write the proportion equation
   23,206 : 33,972 = 33,972 : x
2. Step 2: Convert to fraction form
   23,206/33,972 = 33,972/x
3. Step 3: Cross multiply
   23,206x = 33,972 × 33,972
4. Step 4: Simplify right side
   23,206x = 1,154,096,784
5. Step 5: Solve for x
   x = 1,154,096,784/23,206
6. Step 6: Final answer
   x = 49,732.69