Finding the Third Proportional to 6,775.50 and 10,619.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,775.50 : 10,619.25 = 10,619.25 : x
2. Step 2: Convert to fraction form
   6,775.50/10,619.25 = 10,619.25/x
3. Step 3: Cross multiply
   6,775.50x = 10,619.25 × 10,619.25
4. Step 4: Simplify right side
   6,775.50x = 112,768,470.56
5. Step 5: Solve for x
   x = 112,768,470.56/6,775.50
6. Step 6: Final answer
   x = 16,643.56