Finding the Third Proportional to 33,120 and 64,580

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 64,580 = 64,580 : x
2. Step 2: Convert to fraction form
   33,120/64,580 = 64,580/x
3. Step 3: Cross multiply
   33,120x = 64,580 × 64,580
4. Step 4: Simplify right side
   33,120x = 4,170,576,400
5. Step 5: Solve for x
   x = 4,170,576,400/33,120
6. Step 6: Final answer
   x = 125,923.20