Finding the Third Proportional to 12,380 and 19,663

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 19,663 = 19,663 : x
2. Step 2: Convert to fraction form
   12,380/19,663 = 19,663/x
3. Step 3: Cross multiply
   12,380x = 19,663 × 19,663
4. Step 4: Simplify right side
   12,380x = 386,633,569
5. Step 5: Solve for x
   x = 386,633,569/12,380
6. Step 6: Final answer
   x = 31,230.50