Finding the Third Proportional to 11,564 and 17,346

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 17,346 = 17,346 : x
2. Step 2: Convert to fraction form
   11,564/17,346 = 17,346/x
3. Step 3: Cross multiply
   11,564x = 17,346 × 17,346
4. Step 4: Simplify right side
   11,564x = 300,883,716
5. Step 5: Solve for x
   x = 300,883,716/11,564
6. Step 6: Final answer
   x = 26,019