Finding the Third Proportional to 33,780 and 57,960

Step by Step Solution

1. Step 1: Write the proportion equation
   33,780 : 57,960 = 57,960 : x
2. Step 2: Convert to fraction form
   33,780/57,960 = 57,960/x
3. Step 3: Cross multiply
   33,780x = 57,960 × 57,960
4. Step 4: Simplify right side
   33,780x = 3,359,361,600
5. Step 5: Solve for x
   x = 3,359,361,600/33,780
6. Step 6: Final answer
   x = 99,448.24