Finding the Third Proportional to 5,077.50 and 11,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 11,104.50 = 11,104.50 : x
2. Step 2: Convert to fraction form
   5,077.50/11,104.50 = 11,104.50/x
3. Step 3: Cross multiply
   5,077.50x = 11,104.50 × 11,104.50
4. Step 4: Simplify right side
   5,077.50x = 123,309,920.25
5. Step 5: Solve for x
   x = 123,309,920.25/5,077.50
6. Step 6: Final answer
   x = 24,285.56