Finding the Third Proportional to 37,119 and 82,521

Step by Step Solution

1. Step 1: Write the proportion equation
   37,119 : 82,521 = 82,521 : x
2. Step 2: Convert to fraction form
   37,119/82,521 = 82,521/x
3. Step 3: Cross multiply
   37,119x = 82,521 × 82,521
4. Step 4: Simplify right side
   37,119x = 6,809,715,441
5. Step 5: Solve for x
   x = 6,809,715,441/37,119
6. Step 6: Final answer
   x = 183,456.33