Finding the Third Proportional to 11,292 and 16,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,292 : 16,774.50 = 16,774.50 : x
2. Step 2: Convert to fraction form
   11,292/16,774.50 = 16,774.50/x
3. Step 3: Cross multiply
   11,292x = 16,774.50 × 16,774.50
4. Step 4: Simplify right side
   11,292x = 281,383,850.25
5. Step 5: Solve for x
   x = 281,383,850.25/11,292
6. Step 6: Final answer
   x = 24,918.87