Finding the Third Proportional to 37,808 and 82,852

Step by Step Solution

1. Step 1: Write the proportion equation
   37,808 : 82,852 = 82,852 : x
2. Step 2: Convert to fraction form
   37,808/82,852 = 82,852/x
3. Step 3: Cross multiply
   37,808x = 82,852 × 82,852
4. Step 4: Simplify right side
   37,808x = 6,864,453,904
5. Step 5: Solve for x
   x = 6,864,453,904/37,808
6. Step 6: Final answer
   x = 181,560.88