Finding the Third Proportional to 29,846 and 65,017

Step by Step Solution

1. Step 1: Write the proportion equation
   29,846 : 65,017 = 65,017 : x
2. Step 2: Convert to fraction form
   29,846/65,017 = 65,017/x
3. Step 3: Cross multiply
   29,846x = 65,017 × 65,017
4. Step 4: Simplify right side
   29,846x = 4,227,210,289
5. Step 5: Solve for x
   x = 4,227,210,289/29,846
6. Step 6: Final answer
   x = 141,634.06