Finding the Third Proportional to 10,072 and 21,364

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 21,364 = 21,364 : x
2. Step 2: Convert to fraction form
   10,072/21,364 = 21,364/x
3. Step 3: Cross multiply
   10,072x = 21,364 × 21,364
4. Step 4: Simplify right side
   10,072x = 456,420,496
5. Step 5: Solve for x
   x = 456,420,496/10,072
6. Step 6: Final answer
   x = 45,315.78