Finding the Third Proportional to 34,734 and 76,002

Step by Step Solution

1. Step 1: Write the proportion equation
   34,734 : 76,002 = 76,002 : x
2. Step 2: Convert to fraction form
   34,734/76,002 = 76,002/x
3. Step 3: Cross multiply
   34,734x = 76,002 × 76,002
4. Step 4: Simplify right side
   34,734x = 5,776,304,004
5. Step 5: Solve for x
   x = 5,776,304,004/34,734
6. Step 6: Final answer
   x = 166,301.15