Finding the Third Proportional to 12,380 and 17,498

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 17,498 = 17,498 : x
2. Step 2: Convert to fraction form
   12,380/17,498 = 17,498/x
3. Step 3: Cross multiply
   12,380x = 17,498 × 17,498
4. Step 4: Simplify right side
   12,380x = 306,180,004
5. Step 5: Solve for x
   x = 306,180,004/12,380
6. Step 6: Final answer
   x = 24,731.83