Finding the Third Proportional to 10,580 and 12,212

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580 : 12,212 = 12,212 : x
2. Step 2: Convert to fraction form
   10,580/12,212 = 12,212/x
3. Step 3: Cross multiply
   10,580x = 12,212 × 12,212
4. Step 4: Simplify right side
   10,580x = 149,132,944
5. Step 5: Solve for x
   x = 149,132,944/10,580
6. Step 6: Final answer
   x = 14,095.74