Finding the Third Proportional to 37,397 and 82,384

Step by Step Solution

1. Step 1: Write the proportion equation
   37,397 : 82,384 = 82,384 : x
2. Step 2: Convert to fraction form
   37,397/82,384 = 82,384/x
3. Step 3: Cross multiply
   37,397x = 82,384 × 82,384
4. Step 4: Simplify right side
   37,397x = 6,787,123,456
5. Step 5: Solve for x
   x = 6,787,123,456/37,397
6. Step 6: Final answer
   x = 181,488.45