Finding the Third Proportional to 30,619 and 64,004

Step by Step Solution

1. Step 1: Write the proportion equation
   30,619 : 64,004 = 64,004 : x
2. Step 2: Convert to fraction form
   30,619/64,004 = 64,004/x
3. Step 3: Cross multiply
   30,619x = 64,004 × 64,004
4. Step 4: Simplify right side
   30,619x = 4,096,512,016
5. Step 5: Solve for x
   x = 4,096,512,016/30,619
6. Step 6: Final answer
   x = 133,789.87