Finding the Third Proportional to 15,408 and 31,546

Step by Step Solution

1. Step 1: Write the proportion equation
   15,408 : 31,546 = 31,546 : x
2. Step 2: Convert to fraction form
   15,408/31,546 = 31,546/x
3. Step 3: Cross multiply
   15,408x = 31,546 × 31,546
4. Step 4: Simplify right side
   15,408x = 995,150,116
5. Step 5: Solve for x
   x = 995,150,116/15,408
6. Step 6: Final answer
   x = 64,586.59