Finding the Third Proportional to 13,219 and 20,492

Step by Step Solution

1. Step 1: Write the proportion equation
   13,219 : 20,492 = 20,492 : x
2. Step 2: Convert to fraction form
   13,219/20,492 = 20,492/x
3. Step 3: Cross multiply
   13,219x = 20,492 × 20,492
4. Step 4: Simplify right side
   13,219x = 419,922,064
5. Step 5: Solve for x
   x = 419,922,064/13,219
6. Step 6: Final answer
   x = 31,766.55