Finding the Third Proportional to 12,177 and 16,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,177 : 16,189.50 = 16,189.50 : x
2. Step 2: Convert to fraction form
   12,177/16,189.50 = 16,189.50/x
3. Step 3: Cross multiply
   12,177x = 16,189.50 × 16,189.50
4. Step 4: Simplify right side
   12,177x = 262,099,910.25
5. Step 5: Solve for x
   x = 262,099,910.25/12,177
6. Step 6: Final answer
   x = 21,524.18