Finding the Third Proportional to 10,372 and 21,757

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372 : 21,757 = 21,757 : x
2. Step 2: Convert to fraction form
   10,372/21,757 = 21,757/x
3. Step 3: Cross multiply
   10,372x = 21,757 × 21,757
4. Step 4: Simplify right side
   10,372x = 473,367,049
5. Step 5: Solve for x
   x = 473,367,049/10,372
6. Step 6: Final answer
   x = 45,638.94