Finding the Third Proportional to 11,089.50 and 16,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,089.50 : 16,204.50 = 16,204.50 : x
2. Step 2: Convert to fraction form
   11,089.50/16,204.50 = 16,204.50/x
3. Step 3: Cross multiply
   11,089.50x = 16,204.50 × 16,204.50
4. Step 4: Simplify right side
   11,089.50x = 262,585,820.25
5. Step 5: Solve for x
   x = 262,585,820.25/11,089.50
6. Step 6: Final answer
   x = 23,678.78