Finding the Third Proportional to 11,736 and 20,871

Step by Step Solution

1. Step 1: Write the proportion equation
   11,736 : 20,871 = 20,871 : x
2. Step 2: Convert to fraction form
   11,736/20,871 = 20,871/x
3. Step 3: Cross multiply
   11,736x = 20,871 × 20,871
4. Step 4: Simplify right side
   11,736x = 435,598,641
5. Step 5: Solve for x
   x = 435,598,641/11,736
6. Step 6: Final answer
   x = 37,116.45