Finding the Third Proportional to 19,582 and 42,202

Step by Step Solution

1. Step 1: Write the proportion equation
   19,582 : 42,202 = 42,202 : x
2. Step 2: Convert to fraction form
   19,582/42,202 = 42,202/x
3. Step 3: Cross multiply
   19,582x = 42,202 × 42,202
4. Step 4: Simplify right side
   19,582x = 1,781,008,804
5. Step 5: Solve for x
   x = 1,781,008,804/19,582
6. Step 6: Final answer
   x = 90,951.32