Finding the Third Proportional to 13,222 and 21,259

Step by Step Solution

1. Step 1: Write the proportion equation
   13,222 : 21,259 = 21,259 : x
2. Step 2: Convert to fraction form
   13,222/21,259 = 21,259/x
3. Step 3: Cross multiply
   13,222x = 21,259 × 21,259
4. Step 4: Simplify right side
   13,222x = 451,945,081
5. Step 5: Solve for x
   x = 451,945,081/13,222
6. Step 6: Final answer
   x = 34,181.29