Finding the Third Proportional to 29,956 and 65,197

Step by Step Solution

1. Step 1: Write the proportion equation
   29,956 : 65,197 = 65,197 : x
2. Step 2: Convert to fraction form
   29,956/65,197 = 65,197/x
3. Step 3: Cross multiply
   29,956x = 65,197 × 65,197
4. Step 4: Simplify right side
   29,956x = 4,250,648,809
5. Step 5: Solve for x
   x = 4,250,648,809/29,956
6. Step 6: Final answer
   x = 141,896.41