Finding the Third Proportional to 19,746 and 42,204

Step by Step Solution

1. Step 1: Write the proportion equation
   19,746 : 42,204 = 42,204 : x
2. Step 2: Convert to fraction form
   19,746/42,204 = 42,204/x
3. Step 3: Cross multiply
   19,746x = 42,204 × 42,204
4. Step 4: Simplify right side
   19,746x = 1,781,177,616
5. Step 5: Solve for x
   x = 1,781,177,616/19,746
6. Step 6: Final answer
   x = 90,204.48