Finding the Third Proportional to 11,214 and 17,361

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 17,361 = 17,361 : x
2. Step 2: Convert to fraction form
   11,214/17,361 = 17,361/x
3. Step 3: Cross multiply
   11,214x = 17,361 × 17,361
4. Step 4: Simplify right side
   11,214x = 301,404,321
5. Step 5: Solve for x
   x = 301,404,321/11,214
6. Step 6: Final answer
   x = 26,877.50