Finding the Third Proportional to 29,923 and 65,098

Step by Step Solution

1. Step 1: Write the proportion equation
   29,923 : 65,098 = 65,098 : x
2. Step 2: Convert to fraction form
   29,923/65,098 = 65,098/x
3. Step 3: Cross multiply
   29,923x = 65,098 × 65,098
4. Step 4: Simplify right side
   29,923x = 4,237,749,604
5. Step 5: Solve for x
   x = 4,237,749,604/29,923
6. Step 6: Final answer
   x = 141,621.82