Finding the Third Proportional to 33,664 and 57,120

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 57,120 = 57,120 : x
2. Step 2: Convert to fraction form
   33,664/57,120 = 57,120/x
3. Step 3: Cross multiply
   33,664x = 57,120 × 57,120
4. Step 4: Simplify right side
   33,664x = 3,262,694,400
5. Step 5: Solve for x
   x = 3,262,694,400/33,664
6. Step 6: Final answer
   x = 96,919.39