Finding the Third Proportional to 37,604 and 82,645

Step by Step Solution

1. Step 1: Write the proportion equation
   37,604 : 82,645 = 82,645 : x
2. Step 2: Convert to fraction form
   37,604/82,645 = 82,645/x
3. Step 3: Cross multiply
   37,604x = 82,645 × 82,645
4. Step 4: Simplify right side
   37,604x = 6,830,196,025
5. Step 5: Solve for x
   x = 6,830,196,025/37,604
6. Step 6: Final answer
   x = 181,634.83