Finding the Third Proportional to 8,230 and 12,346

Step by Step Solution

1. Step 1: Write the proportion equation
   8,230 : 12,346 = 12,346 : x
2. Step 2: Convert to fraction form
   8,230/12,346 = 12,346/x
3. Step 3: Cross multiply
   8,230x = 12,346 × 12,346
4. Step 4: Simplify right side
   8,230x = 152,423,716
5. Step 5: Solve for x
   x = 152,423,716/8,230
6. Step 6: Final answer
   x = 18,520.50