Finding the Third Proportional to 10,072 and 13,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 13,676 = 13,676 : x
2. Step 2: Convert to fraction form
   10,072/13,676 = 13,676/x
3. Step 3: Cross multiply
   10,072x = 13,676 × 13,676
4. Step 4: Simplify right side
   10,072x = 187,032,976
5. Step 5: Solve for x
   x = 187,032,976/10,072
6. Step 6: Final answer
   x = 18,569.60