Finding the Third Proportional to 11,152 and 17,278

Step by Step Solution

1. Step 1: Write the proportion equation
   11,152 : 17,278 = 17,278 : x
2. Step 2: Convert to fraction form
   11,152/17,278 = 17,278/x
3. Step 3: Cross multiply
   11,152x = 17,278 × 17,278
4. Step 4: Simplify right side
   11,152x = 298,529,284
5. Step 5: Solve for x
   x = 298,529,284/11,152
6. Step 6: Final answer
   x = 26,769.13