Finding the Third Proportional to 13,646 and 29,834

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646 : 29,834 = 29,834 : x
2. Step 2: Convert to fraction form
   13,646/29,834 = 29,834/x
3. Step 3: Cross multiply
   13,646x = 29,834 × 29,834
4. Step 4: Simplify right side
   13,646x = 890,067,556
5. Step 5: Solve for x
   x = 890,067,556/13,646
6. Step 6: Final answer
   x = 65,225.53