Finding the Third Proportional to 37,662 and 80,328

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 80,328 = 80,328 : x
2. Step 2: Convert to fraction form
   37,662/80,328 = 80,328/x
3. Step 3: Cross multiply
   37,662x = 80,328 × 80,328
4. Step 4: Simplify right side
   37,662x = 6,452,587,584
5. Step 5: Solve for x
   x = 6,452,587,584/37,662
6. Step 6: Final answer
   x = 171,328.86