Finding the Third Proportional to 30,204 and 71,064

Step by Step Solution

1. Step 1: Write the proportion equation
   30,204 : 71,064 = 71,064 : x
2. Step 2: Convert to fraction form
   30,204/71,064 = 71,064/x
3. Step 3: Cross multiply
   30,204x = 71,064 × 71,064
4. Step 4: Simplify right side
   30,204x = 5,050,092,096
5. Step 5: Solve for x
   x = 5,050,092,096/30,204
6. Step 6: Final answer
   x = 167,199.45