Finding the Third Proportional to 14,680 and 31,556

Step by Step Solution

1. Step 1: Write the proportion equation
   14,680 : 31,556 = 31,556 : x
2. Step 2: Convert to fraction form
   14,680/31,556 = 31,556/x
3. Step 3: Cross multiply
   14,680x = 31,556 × 31,556
4. Step 4: Simplify right side
   14,680x = 995,781,136
5. Step 5: Solve for x
   x = 995,781,136/14,680
6. Step 6: Final answer
   x = 67,832.50