Finding the Third Proportional to 30,584 and 67,064

Step by Step Solution

1. Step 1: Write the proportion equation
   30,584 : 67,064 = 67,064 : x
2. Step 2: Convert to fraction form
   30,584/67,064 = 67,064/x
3. Step 3: Cross multiply
   30,584x = 67,064 × 67,064
4. Step 4: Simplify right side
   30,584x = 4,497,580,096
5. Step 5: Solve for x
   x = 4,497,580,096/30,584
6. Step 6: Final answer
   x = 147,056.63