Finding the Third Proportional to 33,120 and 46,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 46,320 = 46,320 : x
2. Step 2: Convert to fraction form
   33,120/46,320 = 46,320/x
3. Step 3: Cross multiply
   33,120x = 46,320 × 46,320
4. Step 4: Simplify right side
   33,120x = 2,145,542,400
5. Step 5: Solve for x
   x = 2,145,542,400/33,120
6. Step 6: Final answer
   x = 64,780.87