Finding the Third Proportional to 13,820 and 21,543

Step by Step Solution

1. Step 1: Write the proportion equation
   13,820 : 21,543 = 21,543 : x
2. Step 2: Convert to fraction form
   13,820/21,543 = 21,543/x
3. Step 3: Cross multiply
   13,820x = 21,543 × 21,543
4. Step 4: Simplify right side
   13,820x = 464,100,849
5. Step 5: Solve for x
   x = 464,100,849/13,820
6. Step 6: Final answer
   x = 33,581.83