Finding the Third Proportional to 37,200 and 80,096

Step by Step Solution

1. Step 1: Write the proportion equation
   37,200 : 80,096 = 80,096 : x
2. Step 2: Convert to fraction form
   37,200/80,096 = 80,096/x
3. Step 3: Cross multiply
   37,200x = 80,096 × 80,096
4. Step 4: Simplify right side
   37,200x = 6,415,369,216
5. Step 5: Solve for x
   x = 6,415,369,216/37,200
6. Step 6: Final answer
   x = 172,456.16