Finding the Third Proportional to 16,738 and 24,508

Step by Step Solution

1. Step 1: Write the proportion equation
   16,738 : 24,508 = 24,508 : x
2. Step 2: Convert to fraction form
   16,738/24,508 = 24,508/x
3. Step 3: Cross multiply
   16,738x = 24,508 × 24,508
4. Step 4: Simplify right side
   16,738x = 600,642,064
5. Step 5: Solve for x
   x = 600,642,064/16,738
6. Step 6: Final answer
   x = 35,884.94