Finding the Third Proportional to 19,478 and 42,071

Step by Step Solution

1. Step 1: Write the proportion equation
   19,478 : 42,071 = 42,071 : x
2. Step 2: Convert to fraction form
   19,478/42,071 = 42,071/x
3. Step 3: Cross multiply
   19,478x = 42,071 × 42,071
4. Step 4: Simplify right side
   19,478x = 1,769,969,041
5. Step 5: Solve for x
   x = 1,769,969,041/19,478
6. Step 6: Final answer
   x = 90,870.16