Finding the Third Proportional to 10,549.50 and 16,189

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.50 : 16,189 = 16,189 : x
2. Step 2: Convert to fraction form
   10,549.50/16,189 = 16,189/x
3. Step 3: Cross multiply
   10,549.50x = 16,189 × 16,189
4. Step 4: Simplify right side
   10,549.50x = 262,083,721
5. Step 5: Solve for x
   x = 262,083,721/10,549.50
6. Step 6: Final answer
   x = 24,843.24