Finding the Third Proportional to 10,072 and 21,818

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 21,818 = 21,818 : x
2. Step 2: Convert to fraction form
   10,072/21,818 = 21,818/x
3. Step 3: Cross multiply
   10,072x = 21,818 × 21,818
4. Step 4: Simplify right side
   10,072x = 476,025,124
5. Step 5: Solve for x
   x = 476,025,124/10,072
6. Step 6: Final answer
   x = 47,262.22