Finding the Third Proportional to 16,182 and 21,749

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 21,749 = 21,749 : x
2. Step 2: Convert to fraction form
   16,182/21,749 = 21,749/x
3. Step 3: Cross multiply
   16,182x = 21,749 × 21,749
4. Step 4: Simplify right side
   16,182x = 473,019,001
5. Step 5: Solve for x
   x = 473,019,001/16,182
6. Step 6: Final answer
   x = 29,231.18