Finding the Third Proportional to 37,072 and 80,384

Step by Step Solution

1. Step 1: Write the proportion equation
   37,072 : 80,384 = 80,384 : x
2. Step 2: Convert to fraction form
   37,072/80,384 = 80,384/x
3. Step 3: Cross multiply
   37,072x = 80,384 × 80,384
4. Step 4: Simplify right side
   37,072x = 6,461,587,456
5. Step 5: Solve for x
   x = 6,461,587,456/37,072
6. Step 6: Final answer
   x = 174,298.32