Finding the Third Proportional to 19,733 and 42,274

Step by Step Solution

1. Step 1: Write the proportion equation
   19,733 : 42,274 = 42,274 : x
2. Step 2: Convert to fraction form
   19,733/42,274 = 42,274/x
3. Step 3: Cross multiply
   19,733x = 42,274 × 42,274
4. Step 4: Simplify right side
   19,733x = 1,787,091,076
5. Step 5: Solve for x
   x = 1,787,091,076/19,733
6. Step 6: Final answer
   x = 90,563.58