Finding the Third Proportional to 11,300 and 18,326

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 18,326 = 18,326 : x
2. Step 2: Convert to fraction form
   11,300/18,326 = 18,326/x
3. Step 3: Cross multiply
   11,300x = 18,326 × 18,326
4. Step 4: Simplify right side
   11,300x = 335,842,276
5. Step 5: Solve for x
   x = 335,842,276/11,300
6. Step 6: Final answer
   x = 29,720.56