Finding the Third Proportional to 37,155 and 82,326

Step by Step Solution

1. Step 1: Write the proportion equation
   37,155 : 82,326 = 82,326 : x
2. Step 2: Convert to fraction form
   37,155/82,326 = 82,326/x
3. Step 3: Cross multiply
   37,155x = 82,326 × 82,326
4. Step 4: Simplify right side
   37,155x = 6,777,570,276
5. Step 5: Solve for x
   x = 6,777,570,276/37,155
6. Step 6: Final answer
   x = 182,413.41