Finding the Third Proportional to 29,960 and 65,510

Step by Step Solution

1. Step 1: Write the proportion equation
   29,960 : 65,510 = 65,510 : x
2. Step 2: Convert to fraction form
   29,960/65,510 = 65,510/x
3. Step 3: Cross multiply
   29,960x = 65,510 × 65,510
4. Step 4: Simplify right side
   29,960x = 4,291,560,100
5. Step 5: Solve for x
   x = 4,291,560,100/29,960
6. Step 6: Final answer
   x = 143,242.99