Finding the Third Proportional to 11,346 and 17,253

Step by Step Solution

1. Step 1: Write the proportion equation
   11,346 : 17,253 = 17,253 : x
2. Step 2: Convert to fraction form
   11,346/17,253 = 17,253/x
3. Step 3: Cross multiply
   11,346x = 17,253 × 17,253
4. Step 4: Simplify right side
   11,346x = 297,666,009
5. Step 5: Solve for x
   x = 297,666,009/11,346
6. Step 6: Final answer
   x = 26,235.33