Finding the Third Proportional to 29,659 and 65,150

Step by Step Solution

1. Step 1: Write the proportion equation
   29,659 : 65,150 = 65,150 : x
2. Step 2: Convert to fraction form
   29,659/65,150 = 65,150/x
3. Step 3: Cross multiply
   29,659x = 65,150 × 65,150
4. Step 4: Simplify right side
   29,659x = 4,244,522,500
5. Step 5: Solve for x
   x = 4,244,522,500/29,659
6. Step 6: Final answer
   x = 143,110.78