Finding the Third Proportional to 11,272 and 18,380

Step by Step Solution

1. Step 1: Write the proportion equation
   11,272 : 18,380 = 18,380 : x
2. Step 2: Convert to fraction form
   11,272/18,380 = 18,380/x
3. Step 3: Cross multiply
   11,272x = 18,380 × 18,380
4. Step 4: Simplify right side
   11,272x = 337,824,400
5. Step 5: Solve for x
   x = 337,824,400/11,272
6. Step 6: Final answer
   x = 29,970.23