Finding the Third Proportional to 19,738 and 41,692

Step by Step Solution

1. Step 1: Write the proportion equation
   19,738 : 41,692 = 41,692 : x
2. Step 2: Convert to fraction form
   19,738/41,692 = 41,692/x
3. Step 3: Cross multiply
   19,738x = 41,692 × 41,692
4. Step 4: Simplify right side
   19,738x = 1,738,222,864
5. Step 5: Solve for x
   x = 1,738,222,864/19,738
6. Step 6: Final answer
   x = 88,064.79