Finding the Third Proportional to 12,195 and 22,419

Step by Step Solution

1. Step 1: Write the proportion equation
   12,195 : 22,419 = 22,419 : x
2. Step 2: Convert to fraction form
   12,195/22,419 = 22,419/x
3. Step 3: Cross multiply
   12,195x = 22,419 × 22,419
4. Step 4: Simplify right side
   12,195x = 502,611,561
5. Step 5: Solve for x
   x = 502,611,561/12,195
6. Step 6: Final answer
   x = 41,214.56