Finding the Third Proportional to 37,798 and 82,757

Step by Step Solution

1. Step 1: Write the proportion equation
   37,798 : 82,757 = 82,757 : x
2. Step 2: Convert to fraction form
   37,798/82,757 = 82,757/x
3. Step 3: Cross multiply
   37,798x = 82,757 × 82,757
4. Step 4: Simplify right side
   37,798x = 6,848,721,049
5. Step 5: Solve for x
   x = 6,848,721,049/37,798
6. Step 6: Final answer
   x = 181,192.68