Finding the Third Proportional to 10,072 and 21,762

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 21,762 = 21,762 : x
2. Step 2: Convert to fraction form
   10,072/21,762 = 21,762/x
3. Step 3: Cross multiply
   10,072x = 21,762 × 21,762
4. Step 4: Simplify right side
   10,072x = 473,584,644
5. Step 5: Solve for x
   x = 473,584,644/10,072
6. Step 6: Final answer
   x = 47,019.92