Finding the Third Proportional to 30,012 and 64,641

Step by Step Solution

1. Step 1: Write the proportion equation
   30,012 : 64,641 = 64,641 : x
2. Step 2: Convert to fraction form
   30,012/64,641 = 64,641/x
3. Step 3: Cross multiply
   30,012x = 64,641 × 64,641
4. Step 4: Simplify right side
   30,012x = 4,178,458,881
5. Step 5: Solve for x
   x = 4,178,458,881/30,012
6. Step 6: Final answer
   x = 139,226.27