Finding the Third Proportional to 19,876 and 41,012

Step by Step Solution

1. Step 1: Write the proportion equation
   19,876 : 41,012 = 41,012 : x
2. Step 2: Convert to fraction form
   19,876/41,012 = 41,012/x
3. Step 3: Cross multiply
   19,876x = 41,012 × 41,012
4. Step 4: Simplify right side
   19,876x = 1,681,984,144
5. Step 5: Solve for x
   x = 1,681,984,144/19,876
6. Step 6: Final answer
   x = 84,623.88