Finding the Third Proportional to 11,516 and 17,358

Step by Step Solution

1. Step 1: Write the proportion equation
   11,516 : 17,358 = 17,358 : x
2. Step 2: Convert to fraction form
   11,516/17,358 = 17,358/x
3. Step 3: Cross multiply
   11,516x = 17,358 × 17,358
4. Step 4: Simplify right side
   11,516x = 301,300,164
5. Step 5: Solve for x
   x = 301,300,164/11,516
6. Step 6: Final answer
   x = 26,163.61