Finding the Third Proportional to 10,456 and 13,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456 : 13,820 = 13,820 : x
2. Step 2: Convert to fraction form
   10,456/13,820 = 13,820/x
3. Step 3: Cross multiply
   10,456x = 13,820 × 13,820
4. Step 4: Simplify right side
   10,456x = 190,992,400
5. Step 5: Solve for x
   x = 190,992,400/10,456
6. Step 6: Final answer
   x = 18,266.30