Finding the Third Proportional to 15,874 and 34,884

Step by Step Solution

1. Step 1: Write the proportion equation
   15,874 : 34,884 = 34,884 : x
2. Step 2: Convert to fraction form
   15,874/34,884 = 34,884/x
3. Step 3: Cross multiply
   15,874x = 34,884 × 34,884
4. Step 4: Simplify right side
   15,874x = 1,216,893,456
5. Step 5: Solve for x
   x = 1,216,893,456/15,874
6. Step 6: Final answer
   x = 76,659.53