Finding the Third Proportional to 19,644 and 42,096

Step by Step Solution

1. Step 1: Write the proportion equation
   19,644 : 42,096 = 42,096 : x
2. Step 2: Convert to fraction form
   19,644/42,096 = 42,096/x
3. Step 3: Cross multiply
   19,644x = 42,096 × 42,096
4. Step 4: Simplify right side
   19,644x = 1,772,073,216
5. Step 5: Solve for x
   x = 1,772,073,216/19,644
6. Step 6: Final answer
   x = 90,209.39