Finding the Third Proportional to 6,019.50 and 11,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,019.50 : 11,296.50 = 11,296.50 : x
2. Step 2: Convert to fraction form
   6,019.50/11,296.50 = 11,296.50/x
3. Step 3: Cross multiply
   6,019.50x = 11,296.50 × 11,296.50
4. Step 4: Simplify right side
   6,019.50x = 127,610,912.25
5. Step 5: Solve for x
   x = 127,610,912.25/6,019.50
6. Step 6: Final answer
   x = 21,199.59