Finding the Third Proportional to 10,749.50 and 16,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,749.50 : 16,286.50 = 16,286.50 : x
2. Step 2: Convert to fraction form
   10,749.50/16,286.50 = 16,286.50/x
3. Step 3: Cross multiply
   10,749.50x = 16,286.50 × 16,286.50
4. Step 4: Simplify right side
   10,749.50x = 265,250,082.25
5. Step 5: Solve for x
   x = 265,250,082.25/10,749.50
6. Step 6: Final answer
   x = 24,675.57