Finding the Third Proportional to 37,605 and 82,647

Step by Step Solution

1. Step 1: Write the proportion equation
   37,605 : 82,647 = 82,647 : x
2. Step 2: Convert to fraction form
   37,605/82,647 = 82,647/x
3. Step 3: Cross multiply
   37,605x = 82,647 × 82,647
4. Step 4: Simplify right side
   37,605x = 6,830,526,609
5. Step 5: Solve for x
   x = 6,830,526,609/37,605
6. Step 6: Final answer
   x = 181,638.79