Finding the Third Proportional to 15,878 and 34,147

Step by Step Solution

1. Step 1: Write the proportion equation
   15,878 : 34,147 = 34,147 : x
2. Step 2: Convert to fraction form
   15,878/34,147 = 34,147/x
3. Step 3: Cross multiply
   15,878x = 34,147 × 34,147
4. Step 4: Simplify right side
   15,878x = 1,166,017,609
5. Step 5: Solve for x
   x = 1,166,017,609/15,878
6. Step 6: Final answer
   x = 73,436.05