Finding the Third Proportional to 37,775 and 82,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,775 : 82,732 = 82,732 : x
2. Step 2: Convert to fraction form
   37,775/82,732 = 82,732/x
3. Step 3: Cross multiply
   37,775x = 82,732 × 82,732
4. Step 4: Simplify right side
   37,775x = 6,844,583,824
5. Step 5: Solve for x
   x = 6,844,583,824/37,775
6. Step 6: Final answer
   x = 181,193.48