Finding the Third Proportional to 11,328 and 17,152

Step by Step Solution

1. Step 1: Write the proportion equation
   11,328 : 17,152 = 17,152 : x
2. Step 2: Convert to fraction form
   11,328/17,152 = 17,152/x
3. Step 3: Cross multiply
   11,328x = 17,152 × 17,152
4. Step 4: Simplify right side
   11,328x = 294,191,104
5. Step 5: Solve for x
   x = 294,191,104/11,328
6. Step 6: Final answer
   x = 25,970.26