Finding the Third Proportional to 30,415 and 71,051

Step by Step Solution

1. Step 1: Write the proportion equation
   30,415 : 71,051 = 71,051 : x
2. Step 2: Convert to fraction form
   30,415/71,051 = 71,051/x
3. Step 3: Cross multiply
   30,415x = 71,051 × 71,051
4. Step 4: Simplify right side
   30,415x = 5,048,244,601
5. Step 5: Solve for x
   x = 5,048,244,601/30,415
6. Step 6: Final answer
   x = 165,978.78