Finding the Third Proportional to 11,490 and 17,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,490 : 17,614.50 = 17,614.50 : x
2. Step 2: Convert to fraction form
   11,490/17,614.50 = 17,614.50/x
3. Step 3: Cross multiply
   11,490x = 17,614.50 × 17,614.50
4. Step 4: Simplify right side
   11,490x = 310,270,610.25
5. Step 5: Solve for x
   x = 310,270,610.25/11,490
6. Step 6: Final answer
   x = 27,003.53