Finding the Third Proportional to 12,164 and 16,366

Step by Step Solution

1. Step 1: Write the proportion equation
   12,164 : 16,366 = 16,366 : x
2. Step 2: Convert to fraction form
   12,164/16,366 = 16,366/x
3. Step 3: Cross multiply
   12,164x = 16,366 × 16,366
4. Step 4: Simplify right side
   12,164x = 267,845,956
5. Step 5: Solve for x
   x = 267,845,956/12,164
6. Step 6: Final answer
   x = 22,019.56