Finding the Third Proportional to 33,144 and 64,608

Step by Step Solution

1. Step 1: Write the proportion equation
   33,144 : 64,608 = 64,608 : x
2. Step 2: Convert to fraction form
   33,144/64,608 = 64,608/x
3. Step 3: Cross multiply
   33,144x = 64,608 × 64,608
4. Step 4: Simplify right side
   33,144x = 4,174,193,664
5. Step 5: Solve for x
   x = 4,174,193,664/33,144
6. Step 6: Final answer
   x = 125,941.16