Finding the Third Proportional to 11,920.50 and 18,137.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,920.50 : 18,137.25 = 18,137.25 : x
2. Step 2: Convert to fraction form
   11,920.50/18,137.25 = 18,137.25/x
3. Step 3: Cross multiply
   11,920.50x = 18,137.25 × 18,137.25
4. Step 4: Simplify right side
   11,920.50x = 328,959,837.56
5. Step 5: Solve for x
   x = 328,959,837.56/11,920.50
6. Step 6: Final answer
   x = 27,596.14