Finding the Third Proportional to 37,608 and 82,597.41

Step by Step Solution

1. Step 1: Write the proportion equation
   37,608 : 82,597.41 = 82,597.41 : x
2. Step 2: Convert to fraction form
   37,608/82,597.41 = 82,597.41/x
3. Step 3: Cross multiply
   37,608x = 82,597.41 × 82,597.41
4. Step 4: Simplify right side
   37,608x = 6,822,331,519.23
5. Step 5: Solve for x
   x = 6,822,331,519.23/37,608
6. Step 6: Final answer
   x = 181,406.39