Finding the Third Proportional to 15,878 and 34,892

Step by Step Solution

1. Step 1: Write the proportion equation
   15,878 : 34,892 = 34,892 : x
2. Step 2: Convert to fraction form
   15,878/34,892 = 34,892/x
3. Step 3: Cross multiply
   15,878x = 34,892 × 34,892
4. Step 4: Simplify right side
   15,878x = 1,217,451,664
5. Step 5: Solve for x
   x = 1,217,451,664/15,878
6. Step 6: Final answer
   x = 76,675.38