Finding the Third Proportional to 13,844 and 21,180

Step by Step Solution

1. Step 1: Write the proportion equation
   13,844 : 21,180 = 21,180 : x
2. Step 2: Convert to fraction form
   13,844/21,180 = 21,180/x
3. Step 3: Cross multiply
   13,844x = 21,180 × 21,180
4. Step 4: Simplify right side
   13,844x = 448,592,400
5. Step 5: Solve for x
   x = 448,592,400/13,844
6. Step 6: Final answer
   x = 32,403.38