Finding the Third Proportional to 37,638 and 80,460

Step by Step Solution

1. Step 1: Write the proportion equation
   37,638 : 80,460 = 80,460 : x
2. Step 2: Convert to fraction form
   37,638/80,460 = 80,460/x
3. Step 3: Cross multiply
   37,638x = 80,460 × 80,460
4. Step 4: Simplify right side
   37,638x = 6,473,811,600
5. Step 5: Solve for x
   x = 6,473,811,600/37,638
6. Step 6: Final answer
   x = 172,002.01