Finding the Third Proportional to 11,252 and 17,224

Step by Step Solution

1. Step 1: Write the proportion equation
   11,252 : 17,224 = 17,224 : x
2. Step 2: Convert to fraction form
   11,252/17,224 = 17,224/x
3. Step 3: Cross multiply
   11,252x = 17,224 × 17,224
4. Step 4: Simplify right side
   11,252x = 296,666,176
5. Step 5: Solve for x
   x = 296,666,176/11,252
6. Step 6: Final answer
   x = 26,365.64