Finding the Third Proportional to 37,097 and 82,488

Step by Step Solution

1. Step 1: Write the proportion equation
   37,097 : 82,488 = 82,488 : x
2. Step 2: Convert to fraction form
   37,097/82,488 = 82,488/x
3. Step 3: Cross multiply
   37,097x = 82,488 × 82,488
4. Step 4: Simplify right side
   37,097x = 6,804,270,144
5. Step 5: Solve for x
   x = 6,804,270,144/37,097
6. Step 6: Final answer
   x = 183,418.34