Finding the Third Proportional to 10,972 and 16,736

Step by Step Solution

1. Step 1: Write the proportion equation
   10,972 : 16,736 = 16,736 : x
2. Step 2: Convert to fraction form
   10,972/16,736 = 16,736/x
3. Step 3: Cross multiply
   10,972x = 16,736 × 16,736
4. Step 4: Simplify right side
   10,972x = 280,093,696
5. Step 5: Solve for x
   x = 280,093,696/10,972
6. Step 6: Final answer
   x = 25,528.04