Finding the Third Proportional to 12,696 and 20,274

Step by Step Solution

1. Step 1: Write the proportion equation
   12,696 : 20,274 = 20,274 : x
2. Step 2: Convert to fraction form
   12,696/20,274 = 20,274/x
3. Step 3: Cross multiply
   12,696x = 20,274 × 20,274
4. Step 4: Simplify right side
   12,696x = 411,035,076
5. Step 5: Solve for x
   x = 411,035,076/12,696
6. Step 6: Final answer
   x = 32,375.16