Finding the Third Proportional to 13,222 and 17,627

Step by Step Solution

1. Step 1: Write the proportion equation
   13,222 : 17,627 = 17,627 : x
2. Step 2: Convert to fraction form
   13,222/17,627 = 17,627/x
3. Step 3: Cross multiply
   13,222x = 17,627 × 17,627
4. Step 4: Simplify right side
   13,222x = 310,711,129
5. Step 5: Solve for x
   x = 310,711,129/13,222
6. Step 6: Final answer
   x = 23,499.56