Finding the Third Proportional to 33,021 and 67,191

Step by Step Solution

1. Step 1: Write the proportion equation
   33,021 : 67,191 = 67,191 : x
2. Step 2: Convert to fraction form
   33,021/67,191 = 67,191/x
3. Step 3: Cross multiply
   33,021x = 67,191 × 67,191
4. Step 4: Simplify right side
   33,021x = 4,514,630,481
5. Step 5: Solve for x
   x = 4,514,630,481/33,021
6. Step 6: Final answer
   x = 136,719.98