Finding the Third Proportional to 6,196.50 and 11,400.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.50 : 11,400.75 = 11,400.75 : x
2. Step 2: Convert to fraction form
   6,196.50/11,400.75 = 11,400.75/x
3. Step 3: Cross multiply
   6,196.50x = 11,400.75 × 11,400.75
4. Step 4: Simplify right side
   6,196.50x = 129,977,100.56
5. Step 5: Solve for x
   x = 129,977,100.56/6,196.50
6. Step 6: Final answer
   x = 20,975.89