Finding the Third Proportional to 12,180 and 19,371

Step by Step Solution

1. Step 1: Write the proportion equation
   12,180 : 19,371 = 19,371 : x
2. Step 2: Convert to fraction form
   12,180/19,371 = 19,371/x
3. Step 3: Cross multiply
   12,180x = 19,371 × 19,371
4. Step 4: Simplify right side
   12,180x = 375,235,641
5. Step 5: Solve for x
   x = 375,235,641/12,180
6. Step 6: Final answer
   x = 30,807.52