Finding the Third Proportional to 19,666 and 42,614

Step by Step Solution

1. Step 1: Write the proportion equation
   19,666 : 42,614 = 42,614 : x
2. Step 2: Convert to fraction form
   19,666/42,614 = 42,614/x
3. Step 3: Cross multiply
   19,666x = 42,614 × 42,614
4. Step 4: Simplify right side
   19,666x = 1,815,952,996
5. Step 5: Solve for x
   x = 1,815,952,996/19,666
6. Step 6: Final answer
   x = 92,339.72