Finding the Third Proportional to 12,760 and 20,492

Step by Step Solution

1. Step 1: Write the proportion equation
   12,760 : 20,492 = 20,492 : x
2. Step 2: Convert to fraction form
   12,760/20,492 = 20,492/x
3. Step 3: Cross multiply
   12,760x = 20,492 × 20,492
4. Step 4: Simplify right side
   12,760x = 419,922,064
5. Step 5: Solve for x
   x = 419,922,064/12,760
6. Step 6: Final answer
   x = 32,909.25