Finding the Third Proportional to 11,541.50 and 17,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,541.50 : 17,924.50 = 17,924.50 : x
2. Step 2: Convert to fraction form
   11,541.50/17,924.50 = 17,924.50/x
3. Step 3: Cross multiply
   11,541.50x = 17,924.50 × 17,924.50
4. Step 4: Simplify right side
   11,541.50x = 321,287,700.25
5. Step 5: Solve for x
   x = 321,287,700.25/11,541.50
6. Step 6: Final answer
   x = 27,837.60