Finding the Third Proportional to 37,415 and 80,016

Step by Step Solution

1. Step 1: Write the proportion equation
   37,415 : 80,016 = 80,016 : x
2. Step 2: Convert to fraction form
   37,415/80,016 = 80,016/x
3. Step 3: Cross multiply
   37,415x = 80,016 × 80,016
4. Step 4: Simplify right side
   37,415x = 6,402,560,256
5. Step 5: Solve for x
   x = 6,402,560,256/37,415
6. Step 6: Final answer
   x = 171,122.82