Finding the Third Proportional to 11,100 and 17,657

Step by Step Solution

1. Step 1: Write the proportion equation
   11,100 : 17,657 = 17,657 : x
2. Step 2: Convert to fraction form
   11,100/17,657 = 17,657/x
3. Step 3: Cross multiply
   11,100x = 17,657 × 17,657
4. Step 4: Simplify right side
   11,100x = 311,769,649
5. Step 5: Solve for x
   x = 311,769,649/11,100
6. Step 6: Final answer
   x = 28,087.36