Finding the Third Proportional to 37,272 and 80,856

Step by Step Solution

1. Step 1: Write the proportion equation
   37,272 : 80,856 = 80,856 : x
2. Step 2: Convert to fraction form
   37,272/80,856 = 80,856/x
3. Step 3: Cross multiply
   37,272x = 80,856 × 80,856
4. Step 4: Simplify right side
   37,272x = 6,537,692,736
5. Step 5: Solve for x
   x = 6,537,692,736/37,272
6. Step 6: Final answer
   x = 175,404.93