Finding the Third Proportional to 37,982 and 82,444

Step by Step Solution

1. Step 1: Write the proportion equation
   37,982 : 82,444 = 82,444 : x
2. Step 2: Convert to fraction form
   37,982/82,444 = 82,444/x
3. Step 3: Cross multiply
   37,982x = 82,444 × 82,444
4. Step 4: Simplify right side
   37,982x = 6,797,013,136
5. Step 5: Solve for x
   x = 6,797,013,136/37,982
6. Step 6: Final answer
   x = 178,953.53