Finding the Third Proportional to 19,471 and 42,011

Step by Step Solution

1. Step 1: Write the proportion equation
   19,471 : 42,011 = 42,011 : x
2. Step 2: Convert to fraction form
   19,471/42,011 = 42,011/x
3. Step 3: Cross multiply
   19,471x = 42,011 × 42,011
4. Step 4: Simplify right side
   19,471x = 1,764,924,121
5. Step 5: Solve for x
   x = 1,764,924,121/19,471
6. Step 6: Final answer
   x = 90,643.73