Finding the Third Proportional to 12,600 and 16,164

Step by Step Solution

1. Step 1: Write the proportion equation
   12,600 : 16,164 = 16,164 : x
2. Step 2: Convert to fraction form
   12,600/16,164 = 16,164/x
3. Step 3: Cross multiply
   12,600x = 16,164 × 16,164
4. Step 4: Simplify right side
   12,600x = 261,274,896
5. Step 5: Solve for x
   x = 261,274,896/12,600
6. Step 6: Final answer
   x = 20,736.10