Finding the Third Proportional to 8,319 and 10,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,319 : 10,114.50 = 10,114.50 : x
2. Step 2: Convert to fraction form
   8,319/10,114.50 = 10,114.50/x
3. Step 3: Cross multiply
   8,319x = 10,114.50 × 10,114.50
4. Step 4: Simplify right side
   8,319x = 102,303,110.25
5. Step 5: Solve for x
   x = 102,303,110.25/8,319
6. Step 6: Final answer
   x = 12,297.52