Finding the Third Proportional to 19,666 and 42,613

Step by Step Solution

1. Step 1: Write the proportion equation
   19,666 : 42,613 = 42,613 : x
2. Step 2: Convert to fraction form
   19,666/42,613 = 42,613/x
3. Step 3: Cross multiply
   19,666x = 42,613 × 42,613
4. Step 4: Simplify right side
   19,666x = 1,815,867,769
5. Step 5: Solve for x
   x = 1,815,867,769/19,666
6. Step 6: Final answer
   x = 92,335.39