Finding the Third Proportional to 6,315 and 12,315

Step by Step Solution

1. Step 1: Write the proportion equation
   6,315 : 12,315 = 12,315 : x
2. Step 2: Convert to fraction form
   6,315/12,315 = 12,315/x
3. Step 3: Cross multiply
   6,315x = 12,315 × 12,315
4. Step 4: Simplify right side
   6,315x = 151,659,225
5. Step 5: Solve for x
   x = 151,659,225/6,315
6. Step 6: Final answer
   x = 24,015.71