Finding the Third Proportional to 30,042 and 42,259

Step by Step Solution

1. Step 1: Write the proportion equation
   30,042 : 42,259 = 42,259 : x
2. Step 2: Convert to fraction form
   30,042/42,259 = 42,259/x
3. Step 3: Cross multiply
   30,042x = 42,259 × 42,259
4. Step 4: Simplify right side
   30,042x = 1,785,823,081
5. Step 5: Solve for x
   x = 1,785,823,081/30,042
6. Step 6: Final answer
   x = 59,444.21