Finding the Third Proportional to 19,665 and 42,611

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665 : 42,611 = 42,611 : x
2. Step 2: Convert to fraction form
   19,665/42,611 = 42,611/x
3. Step 3: Cross multiply
   19,665x = 42,611 × 42,611
4. Step 4: Simplify right side
   19,665x = 1,815,697,321
5. Step 5: Solve for x
   x = 1,815,697,321/19,665
6. Step 6: Final answer
   x = 92,331.42