Finding the Third Proportional to 8,230 and 12,505

Step by Step Solution

1. Step 1: Write the proportion equation
   8,230 : 12,505 = 12,505 : x
2. Step 2: Convert to fraction form
   8,230/12,505 = 12,505/x
3. Step 3: Cross multiply
   8,230x = 12,505 × 12,505
4. Step 4: Simplify right side
   8,230x = 156,375,025
5. Step 5: Solve for x
   x = 156,375,025/8,230
6. Step 6: Final answer
   x = 19,000.61