Finding the Third Proportional to 15,821 and 35,142

Step by Step Solution

1. Step 1: Write the proportion equation
   15,821 : 35,142 = 35,142 : x
2. Step 2: Convert to fraction form
   15,821/35,142 = 35,142/x
3. Step 3: Cross multiply
   15,821x = 35,142 × 35,142
4. Step 4: Simplify right side
   15,821x = 1,234,960,164
5. Step 5: Solve for x
   x = 1,234,960,164/15,821
6. Step 6: Final answer
   x = 78,058.29