Finding the Third Proportional to 19,738 and 42,404

Step by Step Solution

1. Step 1: Write the proportion equation
   19,738 : 42,404 = 42,404 : x
2. Step 2: Convert to fraction form
   19,738/42,404 = 42,404/x
3. Step 3: Cross multiply
   19,738x = 42,404 × 42,404
4. Step 4: Simplify right side
   19,738x = 1,798,099,216
5. Step 5: Solve for x
   x = 1,798,099,216/19,738
6. Step 6: Final answer
   x = 91,098.35