Finding the Third Proportional to 19,747 and 42,205

Step by Step Solution

1. Step 1: Write the proportion equation
   19,747 : 42,205 = 42,205 : x
2. Step 2: Convert to fraction form
   19,747/42,205 = 42,205/x
3. Step 3: Cross multiply
   19,747x = 42,205 × 42,205
4. Step 4: Simplify right side
   19,747x = 1,781,262,025
5. Step 5: Solve for x
   x = 1,781,262,025/19,747
6. Step 6: Final answer
   x = 90,204.18