Finding the Third Proportional to 16,111 and 24,389

Step by Step Solution

1. Step 1: Write the proportion equation
   16,111 : 24,389 = 24,389 : x
2. Step 2: Convert to fraction form
   16,111/24,389 = 24,389/x
3. Step 3: Cross multiply
   16,111x = 24,389 × 24,389
4. Step 4: Simplify right side
   16,111x = 594,823,321
5. Step 5: Solve for x
   x = 594,823,321/16,111
6. Step 6: Final answer
   x = 36,920.32