Finding the Third Proportional to 29,704 and 65,078

Step by Step Solution

1. Step 1: Write the proportion equation
   29,704 : 65,078 = 65,078 : x
2. Step 2: Convert to fraction form
   29,704/65,078 = 65,078/x
3. Step 3: Cross multiply
   29,704x = 65,078 × 65,078
4. Step 4: Simplify right side
   29,704x = 4,235,146,084
5. Step 5: Solve for x
   x = 4,235,146,084/29,704
6. Step 6: Final answer
   x = 142,578.31