Finding the Third Proportional to 29,780 and 65,096

Step by Step Solution

1. Step 1: Write the proportion equation
   29,780 : 65,096 = 65,096 : x
2. Step 2: Convert to fraction form
   29,780/65,096 = 65,096/x
3. Step 3: Cross multiply
   29,780x = 65,096 × 65,096
4. Step 4: Simplify right side
   29,780x = 4,237,489,216
5. Step 5: Solve for x
   x = 4,237,489,216/29,780
6. Step 6: Final answer
   x = 142,293.12