Finding the Third Proportional to 6,311.25 and 13,288.22

Step by Step Solution

1. Step 1: Write the proportion equation
   6,311.25 : 13,288.22 = 13,288.22 : x
2. Step 2: Convert to fraction form
   6,311.25/13,288.22 = 13,288.22/x
3. Step 3: Cross multiply
   6,311.25x = 13,288.22 × 13,288.22
4. Step 4: Simplify right side
   6,311.25x = 176,576,757.55
5. Step 5: Solve for x
   x = 176,576,757.55/6,311.25
6. Step 6: Final answer
   x = 27,978.10