Finding the Third Proportional to 37,476 and 80,265

Step by Step Solution

1. Step 1: Write the proportion equation
   37,476 : 80,265 = 80,265 : x
2. Step 2: Convert to fraction form
   37,476/80,265 = 80,265/x
3. Step 3: Cross multiply
   37,476x = 80,265 × 80,265
4. Step 4: Simplify right side
   37,476x = 6,442,470,225
5. Step 5: Solve for x
   x = 6,442,470,225/37,476
6. Step 6: Final answer
   x = 171,909.23