Finding the Third Proportional to 37,636 and 80,272

Step by Step Solution

1. Step 1: Write the proportion equation
   37,636 : 80,272 = 80,272 : x
2. Step 2: Convert to fraction form
   37,636/80,272 = 80,272/x
3. Step 3: Cross multiply
   37,636x = 80,272 × 80,272
4. Step 4: Simplify right side
   37,636x = 6,443,593,984
5. Step 5: Solve for x
   x = 6,443,593,984/37,636
6. Step 6: Final answer
   x = 171,208.26