Finding the Third Proportional to 30,858 and 67,242

Step by Step Solution

1. Step 1: Write the proportion equation
   30,858 : 67,242 = 67,242 : x
2. Step 2: Convert to fraction form
   30,858/67,242 = 67,242/x
3. Step 3: Cross multiply
   30,858x = 67,242 × 67,242
4. Step 4: Simplify right side
   30,858x = 4,521,486,564
5. Step 5: Solve for x
   x = 4,521,486,564/30,858
6. Step 6: Final answer
   x = 146,525.59