Finding the Third Proportional to 13,820 and 21,268

Step by Step Solution

1. Step 1: Write the proportion equation
   13,820 : 21,268 = 21,268 : x
2. Step 2: Convert to fraction form
   13,820/21,268 = 21,268/x
3. Step 3: Cross multiply
   13,820x = 21,268 × 21,268
4. Step 4: Simplify right side
   13,820x = 452,327,824
5. Step 5: Solve for x
   x = 452,327,824/13,820
6. Step 6: Final answer
   x = 32,729.94