Finding the Third Proportional to 10,252 and 21,764

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252 : 21,764 = 21,764 : x
2. Step 2: Convert to fraction form
   10,252/21,764 = 21,764/x
3. Step 3: Cross multiply
   10,252x = 21,764 × 21,764
4. Step 4: Simplify right side
   10,252x = 473,671,696
5. Step 5: Solve for x
   x = 473,671,696/10,252
6. Step 6: Final answer
   x = 46,202.86