Finding the Third Proportional to 37,436 and 82,048

Step by Step Solution

1. Step 1: Write the proportion equation
   37,436 : 82,048 = 82,048 : x
2. Step 2: Convert to fraction form
   37,436/82,048 = 82,048/x
3. Step 3: Cross multiply
   37,436x = 82,048 × 82,048
4. Step 4: Simplify right side
   37,436x = 6,731,874,304
5. Step 5: Solve for x
   x = 6,731,874,304/37,436
6. Step 6: Final answer
   x = 179,823.55