Finding the Third Proportional to 19,546 and 42,004

Step by Step Solution

1. Step 1: Write the proportion equation
   19,546 : 42,004 = 42,004 : x
2. Step 2: Convert to fraction form
   19,546/42,004 = 42,004/x
3. Step 3: Cross multiply
   19,546x = 42,004 × 42,004
4. Step 4: Simplify right side
   19,546x = 1,764,336,016
5. Step 5: Solve for x
   x = 1,764,336,016/19,546
6. Step 6: Final answer
   x = 90,265.84