Finding the Third Proportional to 10,424 and 18,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 18,164 = 18,164 : x
2. Step 2: Convert to fraction form
   10,424/18,164 = 18,164/x
3. Step 3: Cross multiply
   10,424x = 18,164 × 18,164
4. Step 4: Simplify right side
   10,424x = 329,930,896
5. Step 5: Solve for x
   x = 329,930,896/10,424
6. Step 6: Final answer
   x = 31,651.08