Finding the Third Proportional to 19,289 and 42,271

Step by Step Solution

1. Step 1: Write the proportion equation
   19,289 : 42,271 = 42,271 : x
2. Step 2: Convert to fraction form
   19,289/42,271 = 42,271/x
3. Step 3: Cross multiply
   19,289x = 42,271 × 42,271
4. Step 4: Simplify right side
   19,289x = 1,786,837,441
5. Step 5: Solve for x
   x = 1,786,837,441/19,289
6. Step 6: Final answer
   x = 92,635.05