Finding the Third Proportional to 12,164 and 18,783

Step by Step Solution

1. Step 1: Write the proportion equation
   12,164 : 18,783 = 18,783 : x
2. Step 2: Convert to fraction form
   12,164/18,783 = 18,783/x
3. Step 3: Cross multiply
   12,164x = 18,783 × 18,783
4. Step 4: Simplify right side
   12,164x = 352,801,089
5. Step 5: Solve for x
   x = 352,801,089/12,164
6. Step 6: Final answer
   x = 29,003.71