Finding the Third Proportional to 37,627 and 82,250

Step by Step Solution

1. Step 1: Write the proportion equation
   37,627 : 82,250 = 82,250 : x
2. Step 2: Convert to fraction form
   37,627/82,250 = 82,250/x
3. Step 3: Cross multiply
   37,627x = 82,250 × 82,250
4. Step 4: Simplify right side
   37,627x = 6,765,062,500
5. Step 5: Solve for x
   x = 6,765,062,500/37,627
6. Step 6: Final answer
   x = 179,792.77