Finding the Third Proportional to 30,004 and 64,616

Step by Step Solution

1. Step 1: Write the proportion equation
   30,004 : 64,616 = 64,616 : x
2. Step 2: Convert to fraction form
   30,004/64,616 = 64,616/x
3. Step 3: Cross multiply
   30,004x = 64,616 × 64,616
4. Step 4: Simplify right side
   30,004x = 4,175,227,456
5. Step 5: Solve for x
   x = 4,175,227,456/30,004
6. Step 6: Final answer
   x = 139,155.69