Finding the Third Proportional to 29,965 and 65,216

Step by Step Solution

1. Step 1: Write the proportion equation
   29,965 : 65,216 = 65,216 : x
2. Step 2: Convert to fraction form
   29,965/65,216 = 65,216/x
3. Step 3: Cross multiply
   29,965x = 65,216 × 65,216
4. Step 4: Simplify right side
   29,965x = 4,253,126,656
5. Step 5: Solve for x
   x = 4,253,126,656/29,965
6. Step 6: Final answer
   x = 141,936.48