Finding the Third Proportional to 6,748.75 and 10,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,748.75 : 10,563.25 = 10,563.25 : x
2. Step 2: Convert to fraction form
   6,748.75/10,563.25 = 10,563.25/x
3. Step 3: Cross multiply
   6,748.75x = 10,563.25 × 10,563.25
4. Step 4: Simplify right side
   6,748.75x = 111,582,250.56
5. Step 5: Solve for x
   x = 111,582,250.56/6,748.75
6. Step 6: Final answer
   x = 16,533.77