Finding the Third Proportional to 14,620 and 31,546

Step by Step Solution

1. Step 1: Write the proportion equation
   14,620 : 31,546 = 31,546 : x
2. Step 2: Convert to fraction form
   14,620/31,546 = 31,546/x
3. Step 3: Cross multiply
   14,620x = 31,546 × 31,546
4. Step 4: Simplify right side
   14,620x = 995,150,116
5. Step 5: Solve for x
   x = 995,150,116/14,620
6. Step 6: Final answer
   x = 68,067.72