Finding the Third Proportional to 37,798 and 82,868

Step by Step Solution

1. Step 1: Write the proportion equation
   37,798 : 82,868 = 82,868 : x
2. Step 2: Convert to fraction form
   37,798/82,868 = 82,868/x
3. Step 3: Cross multiply
   37,798x = 82,868 × 82,868
4. Step 4: Simplify right side
   37,798x = 6,867,105,424
5. Step 5: Solve for x
   x = 6,867,105,424/37,798
6. Step 6: Final answer
   x = 181,679.07