Finding the Third Proportional to 8,824.50 and 12,749.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,824.50 : 12,749.25 = 12,749.25 : x
2. Step 2: Convert to fraction form
   8,824.50/12,749.25 = 12,749.25/x
3. Step 3: Cross multiply
   8,824.50x = 12,749.25 × 12,749.25
4. Step 4: Simplify right side
   8,824.50x = 162,543,375.56
5. Step 5: Solve for x
   x = 162,543,375.56/8,824.50
6. Step 6: Final answer
   x = 18,419.56