Finding the Third Proportional to 15,878 and 34,578

Step by Step Solution

1. Step 1: Write the proportion equation
   15,878 : 34,578 = 34,578 : x
2. Step 2: Convert to fraction form
   15,878/34,578 = 34,578/x
3. Step 3: Cross multiply
   15,878x = 34,578 × 34,578
4. Step 4: Simplify right side
   15,878x = 1,195,638,084
5. Step 5: Solve for x
   x = 1,195,638,084/15,878
6. Step 6: Final answer
   x = 75,301.55