Finding the Third Proportional to 10,072 and 21,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 21,766 = 21,766 : x
2. Step 2: Convert to fraction form
   10,072/21,766 = 21,766/x
3. Step 3: Cross multiply
   10,072x = 21,766 × 21,766
4. Step 4: Simplify right side
   10,072x = 473,758,756
5. Step 5: Solve for x
   x = 473,758,756/10,072
6. Step 6: Final answer
   x = 47,037.21