Finding the Third Proportional to 10,469 and 16,091

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469 : 16,091 = 16,091 : x
2. Step 2: Convert to fraction form
   10,469/16,091 = 16,091/x
3. Step 3: Cross multiply
   10,469x = 16,091 × 16,091
4. Step 4: Simplify right side
   10,469x = 258,920,281
5. Step 5: Solve for x
   x = 258,920,281/10,469
6. Step 6: Final answer
   x = 24,732.09