Finding the Third Proportional to 65,792 and 96,960

Step by Step Solution

1. Step 1: Write the proportion equation
   65,792 : 96,960 = 96,960 : x
2. Step 2: Convert to fraction form
   65,792/96,960 = 96,960/x
3. Step 3: Cross multiply
   65,792x = 96,960 × 96,960
4. Step 4: Simplify right side
   65,792x = 9,401,241,600
5. Step 5: Solve for x
   x = 9,401,241,600/65,792
6. Step 6: Final answer
   x = 142,893.39