Finding the Third Proportional to 10,379 and 13,653

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379 : 13,653 = 13,653 : x
2. Step 2: Convert to fraction form
   10,379/13,653 = 13,653/x
3. Step 3: Cross multiply
   10,379x = 13,653 × 13,653
4. Step 4: Simplify right side
   10,379x = 186,404,409
5. Step 5: Solve for x
   x = 186,404,409/10,379
6. Step 6: Final answer
   x = 17,959.77