Finding the Third Proportional to 10,380 and 18,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 18,584 = 18,584 : x
2. Step 2: Convert to fraction form
   10,380/18,584 = 18,584/x
3. Step 3: Cross multiply
   10,380x = 18,584 × 18,584
4. Step 4: Simplify right side
   10,380x = 345,365,056
5. Step 5: Solve for x
   x = 345,365,056/10,380
6. Step 6: Final answer
   x = 33,272.16