Finding the Third Proportional to 19,676 and 42,505

Step by Step Solution

1. Step 1: Write the proportion equation
   19,676 : 42,505 = 42,505 : x
2. Step 2: Convert to fraction form
   19,676/42,505 = 42,505/x
3. Step 3: Cross multiply
   19,676x = 42,505 × 42,505
4. Step 4: Simplify right side
   19,676x = 1,806,675,025
5. Step 5: Solve for x
   x = 1,806,675,025/19,676
6. Step 6: Final answer
   x = 91,821.26