Finding the Third Proportional to 11,289.19 and 17,580.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,289.19 : 17,580.09 = 17,580.09 : x
2. Step 2: Convert to fraction form
   11,289.19/17,580.09 = 17,580.09/x
3. Step 3: Cross multiply
   11,289.19x = 17,580.09 × 17,580.09
4. Step 4: Simplify right side
   11,289.19x = 309,059,696.26
5. Step 5: Solve for x
   x = 309,059,696.26/11,289.19
6. Step 6: Final answer
   x = 27,376.61