Finding the Third Proportional to 37,609 and 80,221

Step by Step Solution

1. Step 1: Write the proportion equation
   37,609 : 80,221 = 80,221 : x
2. Step 2: Convert to fraction form
   37,609/80,221 = 80,221/x
3. Step 3: Cross multiply
   37,609x = 80,221 × 80,221
4. Step 4: Simplify right side
   37,609x = 6,435,408,841
5. Step 5: Solve for x
   x = 6,435,408,841/37,609
6. Step 6: Final answer
   x = 171,113.53