Finding the Third Proportional to 10,385 and 16,107

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385 : 16,107 = 16,107 : x
2. Step 2: Convert to fraction form
   10,385/16,107 = 16,107/x
3. Step 3: Cross multiply
   10,385x = 16,107 × 16,107
4. Step 4: Simplify right side
   10,385x = 259,435,449
5. Step 5: Solve for x
   x = 259,435,449/10,385
6. Step 6: Final answer
   x = 24,981.75