Finding the Third Proportional to 10,050 and 16,093

Step by Step Solution

1. Step 1: Write the proportion equation
   10,050 : 16,093 = 16,093 : x
2. Step 2: Convert to fraction form
   10,050/16,093 = 16,093/x
3. Step 3: Cross multiply
   10,050x = 16,093 × 16,093
4. Step 4: Simplify right side
   10,050x = 258,984,649
5. Step 5: Solve for x
   x = 258,984,649/10,050
6. Step 6: Final answer
   x = 25,769.62