Finding the Third Proportional to 19,533 and 42,742

Step by Step Solution

1. Step 1: Write the proportion equation
   19,533 : 42,742 = 42,742 : x
2. Step 2: Convert to fraction form
   19,533/42,742 = 42,742/x
3. Step 3: Cross multiply
   19,533x = 42,742 × 42,742
4. Step 4: Simplify right side
   19,533x = 1,826,878,564
5. Step 5: Solve for x
   x = 1,826,878,564/19,533
6. Step 6: Final answer
   x = 93,527.80