Finding the Third Proportional to 33,139 and 71,221

Step by Step Solution

1. Step 1: Write the proportion equation
   33,139 : 71,221 = 71,221 : x
2. Step 2: Convert to fraction form
   33,139/71,221 = 71,221/x
3. Step 3: Cross multiply
   33,139x = 71,221 × 71,221
4. Step 4: Simplify right side
   33,139x = 5,072,430,841
5. Step 5: Solve for x
   x = 5,072,430,841/33,139
6. Step 6: Final answer
   x = 153,065.30