Finding the Third Proportional to 37,368 and 82,017

Step by Step Solution

1. Step 1: Write the proportion equation
   37,368 : 82,017 = 82,017 : x
2. Step 2: Convert to fraction form
   37,368/82,017 = 82,017/x
3. Step 3: Cross multiply
   37,368x = 82,017 × 82,017
4. Step 4: Simplify right side
   37,368x = 6,726,788,289
5. Step 5: Solve for x
   x = 6,726,788,289/37,368
6. Step 6: Final answer
   x = 180,014.67