Finding the Third Proportional to 10,538 and 21,379

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 21,379 = 21,379 : x
2. Step 2: Convert to fraction form
   10,538/21,379 = 21,379/x
3. Step 3: Cross multiply
   10,538x = 21,379 × 21,379
4. Step 4: Simplify right side
   10,538x = 457,061,641
5. Step 5: Solve for x
   x = 457,061,641/10,538
6. Step 6: Final answer
   x = 43,372.71