Finding the Third Proportional to 30,960 and 65,916

Step by Step Solution

1. Step 1: Write the proportion equation
   30,960 : 65,916 = 65,916 : x
2. Step 2: Convert to fraction form
   30,960/65,916 = 65,916/x
3. Step 3: Cross multiply
   30,960x = 65,916 × 65,916
4. Step 4: Simplify right side
   30,960x = 4,344,919,056
5. Step 5: Solve for x
   x = 4,344,919,056/30,960
6. Step 6: Final answer
   x = 140,339.76