Finding the Third Proportional to 34,874 and 76,580

Step by Step Solution

1. Step 1: Write the proportion equation
   34,874 : 76,580 = 76,580 : x
2. Step 2: Convert to fraction form
   34,874/76,580 = 76,580/x
3. Step 3: Cross multiply
   34,874x = 76,580 × 76,580
4. Step 4: Simplify right side
   34,874x = 5,864,496,400
5. Step 5: Solve for x
   x = 5,864,496,400/34,874
6. Step 6: Final answer
   x = 168,162.42