Finding the Third Proportional to 11,616 and 17,210

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 17,210 = 17,210 : x
2. Step 2: Convert to fraction form
   11,616/17,210 = 17,210/x
3. Step 3: Cross multiply
   11,616x = 17,210 × 17,210
4. Step 4: Simplify right side
   11,616x = 296,184,100
5. Step 5: Solve for x
   x = 296,184,100/11,616
6. Step 6: Final answer
   x = 25,497.94