Finding the Third Proportional to 30,648 and 64,104

Step by Step Solution

1. Step 1: Write the proportion equation
   30,648 : 64,104 = 64,104 : x
2. Step 2: Convert to fraction form
   30,648/64,104 = 64,104/x
3. Step 3: Cross multiply
   30,648x = 64,104 × 64,104
4. Step 4: Simplify right side
   30,648x = 4,109,322,816
5. Step 5: Solve for x
   x = 4,109,322,816/30,648
6. Step 6: Final answer
   x = 134,081.27