Finding the Third Proportional to 37,871 and 82,012

Step by Step Solution

1. Step 1: Write the proportion equation
   37,871 : 82,012 = 82,012 : x
2. Step 2: Convert to fraction form
   37,871/82,012 = 82,012/x
3. Step 3: Cross multiply
   37,871x = 82,012 × 82,012
4. Step 4: Simplify right side
   37,871x = 6,725,968,144
5. Step 5: Solve for x
   x = 6,725,968,144/37,871
6. Step 6: Final answer
   x = 177,602.07