Finding the Third Proportional to 30,576 and 64,608

Step by Step Solution

1. Step 1: Write the proportion equation
   30,576 : 64,608 = 64,608 : x
2. Step 2: Convert to fraction form
   30,576/64,608 = 64,608/x
3. Step 3: Cross multiply
   30,576x = 64,608 × 64,608
4. Step 4: Simplify right side
   30,576x = 4,174,193,664
5. Step 5: Solve for x
   x = 4,174,193,664/30,576
6. Step 6: Final answer
   x = 136,518.63