Finding the Third Proportional to 19,743 and 42,285

Step by Step Solution

1. Step 1: Write the proportion equation
   19,743 : 42,285 = 42,285 : x
2. Step 2: Convert to fraction form
   19,743/42,285 = 42,285/x
3. Step 3: Cross multiply
   19,743x = 42,285 × 42,285
4. Step 4: Simplify right side
   19,743x = 1,788,021,225
5. Step 5: Solve for x
   x = 1,788,021,225/19,743
6. Step 6: Final answer
   x = 90,564.82