Finding the Third Proportional to 11,223 and 17,606

Step by Step Solution

1. Step 1: Write the proportion equation
   11,223 : 17,606 = 17,606 : x
2. Step 2: Convert to fraction form
   11,223/17,606 = 17,606/x
3. Step 3: Cross multiply
   11,223x = 17,606 × 17,606
4. Step 4: Simplify right side
   11,223x = 309,971,236
5. Step 5: Solve for x
   x = 309,971,236/11,223
6. Step 6: Final answer
   x = 27,619.29